Hall Ticket No: Question Paper Code: A1304 (AUTONOMOUS) B ... · 20mm from the apex. Draw the...

Hall Ticket No: Question Paper Code: A1304

(AUTONOMOUS) B. Tech II Semester Supplementary Examinations, December - 2016

(Regulations: VCE-R11/R11A)

ADVANCED ENGINEERING DRAWING

(Common to Mechanical Engineering, Aeronautical Engineering & Civil Engineering)

Date: 20 December, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. A square plate of side 35mm is resting on HP with one of its sides and its surface is inclined at

40 to HP and the resting side inclined at 45 to VP. Draw its projections using auxiliary plane method.

15M

2. A hexagonal prism with side of base 25mm and 50mm long is resting on a comer of its base on HP. Draw the projections of the prism when its axis is making 30° with HP and parallel to V.P.

15M

Unit – II

3. A Cube, with 25mm edges, is resting on its base with two side faces inclined at 30° to the VP. It is cut by a section plane parallel to the VP and 10mm from the axis. Draw the sectional front view and the top view of the cube.

15M

4. A cone of diameter of base 45mm and height 60mm is cut by horizontal cutting plane at 20mm from the apex. Draw the development of the truncated cone.

15M

Unit – III

5. A vertical cylinder of diameter 120mm is fully penetrated by a cylinder of diameter 90mm, their axes intersecting each other. The axis of the penetrating cylinder is inclined at 30° to the HP and is parallel to the VP. Draw the top and front views of the cylinders and the curves of intersection.

15M

6. Draw to scale 1:1 the following views of the given isometric projection: i. Front view looking in direction F ii. Top view looking in direction T iii. Right view looking in the direction R

Fig.1

15M

Cont…2

:: 2 ::

Unit – IV

7. A cone of base diameter 30mm and height 40mm rests centrally over a frustum of a hexagonal pyramid of base sides 40mm, top sides 25mm and height 60mm. Draw the isometric projections of the solids.

15M

8. Draw the isometric view of the object whose orthographic projections are shown in Fig.2. All dimensions are in mm. (If required use a suitable scale).

Fig.2

15M

Unit – V

9. A triangular prism of base edge 30mm and 50mm long is resting on one of its rectangular

faces on the ground with its base edge making an angle of 40 with the PP. the nearest corner of the rectangular face on the ground is 10mm behind PP. The station point is 70mm from the PP and 10mm to the right of the corner nearest to the PP. The horizon plane is 60mm above the ground. Draw the perspective view of the object.

15M

10. A cylinder of base diameter 40mm and height 60mm is lying on one of its generator on the

ground with the base inclined at 40 to the PP. One of the points on the circumference of the base is touching the PP. The station point is opposite to this point, 80mm from the PP and 70mm above the ground. Draw the perspective view of the object using vanishing point method.

15M



(Regulations: VCE-R15)

ENGINEERING DRAWING-II

(Common to Mechanical Engineering & Civil Engineering)

Date: 20 December, 2016 FN Time: 3 hours Max Marks: 75


Unit – I

1. A Hexagonal Pyramid, sides of base 30mm and axis 65mm long is resting on its base on HP with two edges of the base parallel to VP. It is cut by a section plane perpendicular to VP, inclined at 450 to HP and intersecting the axis at a point 25mm above the base. Draw the Front view, Sectional top view and true shape of the section.

15M

2. A Square prism, sides of base 30mm and axis 60mm long is resting on HP on its base with all the vertical faces being equally inclined to VP. It is cut by an inclined plane 600 to HP and perpendicular to VP and is passing through a point on the axis at a distance 50mm from the base. Draw the Development of lateral surface of the Truncated Prism.

15M

Unit – II

3. A Vertical Square Prism, base 50mm sides is completely penetrated by a Horizontal Square prism, base 35mm sides, so that their axes are 6mm apart. The axis of the Horizontal prism is parallel to VP while the faces of both prisms are equally inclined to the VP. Draw the projections of the prisms showing lines of intersection. Assume suitable lengths for prisms.

15M

4. A Vertical cylinder of 80mm diameter is penetrated by another cylinder 60mm diameter, the axis of which is parallel to both HP and VP. The two axes are 8mm apart. Draw the projections showing the curves of intersection. Assume suitable lengths for cylinders.

15M

Unit – III

5. Draw the isometric projections of combination of solids from the following data. A hemisphere of 50mm diameter with its flat circular face at the top is placed centrally on the top face of a pentagonal prism of 25mm sides of base and axis 50mm long. The prism rests on its base on HP with two of its lateral faces making equal inclinations with VP and nearer to it.

15M

6. A cylinder of 30 mm diameter and 50mm high is placed centrally on the rectangular face of a horizontal hexagonal prism of 30mm sides and 70mm long. Draw the isometric projection of the arrangement.

15M

Cont…2

::2::

Unit – IV

7. Fig.1 shows the top and front views of an object. Draw the Isometric view of the object:

Fig.1

15M

8. Draw the elevation, top view and side view of the following machine part as shown in

Fig.2 below. (All dimensions are in mm):

Fig.2

15M

Unit – V

9. Draw the Perspective view of a Cube of 25mm edge, resting on the ground plane on one of its faces. It has one of the vertical edges in the picture plane and all its vertical faces are equally inclined to the picture plane. The station point is 55mm in front of the picture plane, 40mm above the ground plane and is in a central plane 9mm to the left of the centre of the cube.

15M

10. Draw the Perspective view of a regular Hexagonal Prism of sides of base 25mm and axis 60mm long lying on ground plane on one of its rectangular faces such that its axis is inclined at 300 to the picture plane and one of its vertical edges touching the picture plane. The Station point is 80mm in front of the picture plane and lies in a central plane bisecting the axis. The Horizon is in the level of the top rectangular face of the Prism.

15M




MATHEMATICS-II

(Common for All Branches)



Unit – I

1.

a) Find rank of the matrix

1 3 2 2

1 2 1 3

2 4 3 4

3 7 4 8

A

by using row echelon form

7M

b) Find Eigen values and Eigen vectors of

4 6 6

1 3 2

1 5 2

A

8M

2. a) Solve the following linear system for , , :x y z

1, 2 2, 2 2x y z x y z x y z

7M

b) Diagonalise the matrix 3 4

2 3C

and hence find 4C

8M

Unit – II

3. a) Prove that the eigen values of Unitary matrix U have absolute value 1

7M

b) Show that

0 0

0 0

0 0

i

A i

i

is Skew-Hermitian. Find the eigen values and eigen

vectors

8M

4.

a) Show that

2 3 2 4

3 2 5 6

4 6 3

i

A i i

i

is Hermitian and iA is skew-Hermitian

7M

b) Reduce the Quadratic form 2 2 2

1 2 3 1 2 2 3 1 34 4 4x x x x x x x x x into canonical

form. Discuss its nature.

8M

Unit – III

5. a) Form a partial differential equation by eliminating the arbitrary function f from

2 2 2 , 0f x y z lx my nz

7M

b) Solve by the method of separation of variables 2u u

ux t

where

3( ,0) 6 xu x e

8M

Cont…2

::2::

6.

a) Solve -34 , (0, ) 8 yu uu y e

x y

by the method of separation of variables

7M

b) Solve 2 2 2x y z p y z x q z x y

8M

Unit – IV

7. An alternating current I after passing the rectifier has the form

0 sin 0

0 2

I x if xI

if x

, Where 0I

is the maximum current and the period 2 .

Express I as a Fourier series. Also graph the function and deduce that 1 1 1 1

2 1 3 3 5 5 7

15M

8.

a) Find the Fourier series for 22f x x x in 0, 3

7M

b) Obtain half range sine series for

1 10

4 2

3 11

4 2

x if x

f x

x if x

8M

Unit – V

9.

a) Find the Fourier cosine transform of 2( ) 2f x x x in 0 2x

7M

b) Find the Fourier sine transform for

10

2

11 1

2

x if x

f x

x if x

8M

10.

a) Find 2( )nz u

if 2

( )1 1

n

z zz u

z z

7M

b) Find the inverse Z-transform of 5

(2 )(3 1)

z

z z

8M




MATHEMATICS-II




Unit – I

1.

a) Using Gauss-Jordan method find the inverse of the matrix

442

331

311

8M

b) Find the characteristic equation of the matrix

211

010

112

and hence find 1A

7M

2. a) Test for consistency and hence solve 2 4,x y z 2 3 3,x y z 3 2 3x y z 8M

b) Define Hermitian and Skew-Hermitian matrices. Show that Eigen values of a Hermitian matrix are real

7M

Unit – II

3.

a) Reduce the quadratic form in to 2 2 23 5 3 2 2 2x y z yz zx xy canonical form and

also find the matrix of transformation

10M

b) Determine whether the following vectors in 4R are linearly dependent or independent

1 2 3 1 3 7 1 2 1 3 7 4, , , , , , , , , , ,

5M

4.

a) Find the Eigen values and Eigen vectors

2 2 1

1 3 1

1 2 2

A

6M

b) Diogonalize the matrix

1 1 3

1 5 1

3 1 1

A

9M

Unit – III

5.

a) Form the partial differential equation by eliminating f and g from yz f x e g x

7M

b) Solve uuu yxx 2 using the method of separation of variables subject to

yex

uu 31,0

when 0x for all y

8M

6. a) Solve mxlyqlznxpnymz 7M

b) Solve22222 zqypx

8M

Cont….2

:: 2 ::

Unit – IV

7.

a) Find the Fourier series expansion of

xifx

xifxf

0

0

8M

b) Prove that in the interval x ,

nxn

nxxx

n

n

sin1

12sin

2

1cos

22

7M

8.

a) Obtain the cosine series for 20 xinxxf . Hence show that

8

1

2

1

1

1 2

222

n

7M

b) Obtain the Fourier series expansion of

212

10

xifx

xifxxf

8M

Unit – V

9.

a) Find the Fourier sine transform ofx

e ax

7M

b) Find the Fourier transform of

10

11

xif

xifxf . Hence evaluate

0

sindx

x

x

8M

10.

a) Evaluate sin 3 5 anz n ne

7M

b) Evaluate

42

203

31

zz

zzZ

8M




MATHEMATICS-II




Unit – I

1.

a) Using Gauss-Jordan method find the inverse of the matrix

442

331

311

8M

b) Find the characteristic equation of the matrix

211

010

112

and hence find 1A

7M

2. a) Test for consistency and hence solve 2 4,x y z 2 3 3,x y z 3 2 3x y z 8M

b) Define Hermitian and Skew-Hermitian matrices. Show that Eigen values of a Hermitian matrix are real

7M

Unit – II

3.

a) Reduce the quadratic form in to 2 2 23 5 3 2 2 2x y z yz zx xy canonical form and

also find the matrix of transformation

10M

b) Determine whether the following vectors in 4R are linearly dependent or independent

1 2 3 1 3 7 1 2 1 3 7 4, , , , , , , , , , ,

5M

4.

a) Find the Eigen values and Eigen vectors

2 2 1

1 3 1

1 2 2

A

6M

b) Diogonalize the matrix

1 1 3

1 5 1

3 1 1

A

9M

Unit – III

5.

a) Form the partial differential equation by eliminating f and g from yz f x e g x

7M

b) Solve uuu yxx 2 using the method of separation of variables subject to

yex

uu 31,0

when 0x for all y

8M

6. a) Solve mxlyqlznxpnymz 7M

b) Solve22222 zqypx

8M

Cont….2

:: 2 ::

Unit – IV

7.

a) Find the Fourier series expansion of

xifx

xifxf

0

0

8M

b) Prove that in the interval x ,

nxn

nxxx

n

n

sin1

12sin

2

1cos

22

7M

8.

a) Obtain the cosine series for 20 xinxxf . Hence show that

8

1

2

1

1

1 2

222

n

7M

b) Obtain the Fourier series expansion of

212

10

xifx

xifxxf

8M

Unit – V

9.

a) Find the Fourier sine transform ofx

e ax

7M

b) Find the Fourier transform of

10

11

xif

xifxf . Hence evaluate

0

sindx

x

x

8M

10.

a) Evaluate sin 3 5 anz n ne

7M

b) Evaluate

42

203

31

zz

zzZ

8M



(Regulations: VCE-R11A)

ENGINEERING PHYSICS (Common to Computer Science and Engineering, Information Technology,

Aeronautical Engineering & Civil Engineering) Date: 24 December, 2016 Time: 3 hours Max Marks: 75


Unit – I

1 a) Explain with a suitable graph the variation of potential energy with interatomic distance. Derive the expression for equilibrium interatomic distance and cohesive energy of a diatomic molecule.

9M

b) What are the general properties of vander Waals bonds? With suitable examples, distinguish between different types of vander Waals bonds.

6M

2 a) Calculate the atomic packing fraction of f.c.c. with schematic diagram. 7M b) Derive an expression for the inter planar separation of a crystal in terms of Miller

indices.

8M

Unit – II

3. a) Explain powder crystal method for determination of crystal structures. 9M b) Outline the procedure for determining Miller indices of a crystal plane. Obtain the

Miller indices of a plane which intercepts at a, b/2, 3c in a simple cubic unit cell. Draw a neat diagram showing the plane.

6M

4. a) What is the importance of surface to volume ratio in nanoscale? Explain how the properties depend on the S/V ratio.

7M

b) Discuss any one method for nanomaterial synthesis.

8M

Unit – III

5 a) Distinguish between metals, insulators and semiconductors. 7M b) Explain the construction and working of an LED with neat sketch.

8M

6 a) State Bloch’s theorem. What are the salient features of Kronig Penney model? How does this model explain the energy band formation in solids?

10M

b) Derive Schrodinger’s time independent wave equation.

5M

Unit – IV

7 a) What is hysteresis? Explain the hysteresis cycle and give its physical significance. 7M b) Arrive at the expression for local field in an elemental dielectric with cubic structure.

8M

8 a) Differentiate soft and hard materials. 7M b) i. What is Meissner’s effect? Show that type–I superconductor is a perfect diamagnetic

ii. Distinguish between the soft and hard magnetic materials 8M

Unit – V

9 a) Explain absorption, spontaneous emission, stimulated emission and population inversion with schematic diagrams.

8M

b) Explain with principle, the working of Ruby laser.

7M

10 a) What is attenuation in optical fibers? Explain the different types of attenuation in optical fibers.

6M

b) Obtain an expression for energy density in terms of Einstein’s coefficients. Prove that the probability of the process of stimulated emission is same as the probability of the process of absorption.

9M




ENGINEERING PHYSICS (Common to Computer Science and Engineering, Information Technology,

Electronics and Communication Engineering) Date: 24 December, 2016 Time: 3 hours Max Marks: 75


Unit – I

1 a) Explain with a suitable graph the variation of potential energy with interatomic distance. Derive the expression for equilibrium interatomic distance and cohesive energy of a diatomic molecule.

9M

b) What are the general properties of vander Waals bonds? With suitable examples, distinguish between different types of vander Waals bonds.

6M

2 a) Calculate the atomic packing fraction of f.c.c. with schematic diagram. 7M b) Derive an expression for the inter planar separation of a crystal in terms of Miller

indices.

8M

Unit – II

3. a) Explain powder crystal method for determination of crystal structures. 9M b) Outline the procedure for determining Miller indices of a crystal plane. Obtain the

Miller indices of a plane which intercepts at a, b/2, 3c in a simple cubic unit cell. Draw a neat diagram showing the plane.

6M

4. a) What is the importance of surface to volume ratio in nanoscale? Explain how the properties depend on the S/V ratio.

7M

b) Discuss any one method for nanomaterial synthesis.

8M

Unit – III

5 a) Distinguish between metals, insulators and semiconductors. 7M b) Explain the construction and working of an LED with neat sketch.

8M

6 a) State Bloch’s theorem. What are the salient features of Kronig Penney model? How does this model explain the energy band formation in solids?

10M

b) Derive Schrodinger’s time independent wave equation.

5M

Unit – IV

7 a) What is hysteresis? Explain the hysteresis cycle and give its physical significance. 7M b) Arrive at the expression for local field in an elemental dielectric with cubic structure.

8M

8 a) Differentiate soft and hard materials. 7M b) i. What is Meissner’s effect? Show that type–I superconductor is a perfect diamagnetic

ii. Distinguish between the soft and hard magnetic materials 8M

Unit – V

9 a) Explain absorption, spontaneous emission, stimulated emission and population inversion with schematic diagrams.

8M

b) Explain with principle, the working of Ruby laser.

7M

10 a) What is attenuation in optical fibers? Explain the different types of attenuation in optical fibers.

6M

b) Obtain an expression for energy density in terms of Einstein’s coefficients. Prove that the probability of the process of stimulated emission is same as the probability of the process of absorption.

9M




ENGINEERING PHYSICS

(Common to Computer Science and Engineering, Information Technology & Electrical and Electronics Engineering)



Unit – I

1. a) Obtain an expression for the interplanar spacing of a cubic crystal in terms of Miller Indices.

5M

b) Define the term Coordination number. Calculate the packing fraction for BCC crystal structure.

10M

2. a) Derive Bragg’s law. Describe the powder diffraction method of crystal structure determination with a neat diagram.

10M

b) Monochromatic X-rays of wavelength 0.82Å undergo first order Bragg reflection from a cubic crystal with lattice constant of 3 Å at a glancing angle of 7o5′11″. Identify the possible planes which give rise to this reflection in terms of their Miller indices.

5M

Unit – II

3. a) Obtain Schrodinger’s time independent wave equation. 8M b) Explain the construction and working of an LED with neat sketch.

7M

4.

a) Explain De Broglie’s hypothesis. Derive the relation h

mv

8M

b) Differentiate intrinsic and extrinsic semiconductors.

7M

Unit – III

5. a) Discuss in brief the classification of nanomaterials. Outline anyone method of preparation of nanomaterials with a neat diagram.

9M

b) Explain the difference between top-down and bottom-up approach for nanostructured materials synthesis with schematic diagram.

6M

6. a) Discuss in brief different types of polarization. Arrive at the expression for local field in an elemental dielectric with cubic structure.

10M

b) The dielectric constant of helium measured at 0oC and 1 atm is 1.0000684. Under these conditions the gas contains 2.7x1025 atoms/m3. Calculate the radius of the electron cloud. Also, calculate the displacement when the atom is subjected to an electric field of 106V/m.

5M

Unit – IV

7. a) Distinguish between para, dia and ferromagnetic materials. 9M b) Explain the Meissner effect. What are the high temperature superconductors?

6M

8. a) What are the soft and hard magnetic materials? What are their applications? 8M b) Give an account of BCS theory of superconductivity. 7M

Cont…2

::2::

Unit – V

9. a) Obtain the relation between the probabilities of spontaneous emission and stimulated emission in terms of Einstein’s coefficients.

8M

b) Explain the construction and working of a Ruby laser.

7M

10. a) What is Numerical aperture of an optical fiber? Obtain an expression for it. 8M b) Explain the numerical aperture and acceptance cone? Calculate the numerical

aperture and acceptance angle for an optical fiber with core and cladding refractive indices being 1.48 and 1.45 respectively.

7M




ENGINEERING PHYSICS




Unit – I

1. a) Obtain an expression for the interplanar spacing of a cubic crystal in terms of Miller Indices.

5M

b) Define the term Coordination number. Calculate the packing fraction for BCC crystal structure.

10M

2. a) Derive Bragg’s law. Describe the powder diffraction method of crystal structure determination with a neat diagram.

10M

b) Monochromatic X-rays of wavelength 0.82Å undergo first order Bragg reflection from a cubic crystal with lattice constant of 3 Å at a glancing angle of 7o5′11″. Identify the possible planes which give rise to this reflection in terms of their Miller indices.

5M

Unit – II

3. a) Obtain Schrodinger’s time independent wave equation. 8M b) Explain the construction and working of an LED with neat sketch.

7M

4.

a) Explain De Broglie’s hypothesis. Derive the relation h

mv

8M

b) Differentiate intrinsic and extrinsic semiconductors.

7M

Unit – III

5. a) Discuss in brief the classification of nanomaterials. Outline anyone method of preparation of nanomaterials with a neat diagram.

9M

b) Explain the difference between top-down and bottom-up approach for nanostructured materials synthesis with schematic diagram.

6M

6. a) Discuss in brief different types of polarization. Arrive at the expression for local field in an elemental dielectric with cubic structure.

10M

b) The dielectric constant of helium measured at 0oC and 1 atm is 1.0000684. Under these conditions the gas contains 2.7x1025 atoms/m3. Calculate the radius of the electron cloud. Also, calculate the displacement when the atom is subjected to an electric field of 106V/m.

5M

Unit – IV

7. a) Distinguish between para, dia and ferromagnetic materials. 9M b) Explain the Meissner effect. What are the high temperature superconductors?

6M

8. a) What are the soft and hard magnetic materials? What are their applications? 8M b) Give an account of BCS theory of superconductivity. 7M

Cont…2

::2::

Unit – V

9. a) Obtain the relation between the probabilities of spontaneous emission and stimulated emission in terms of Einstein’s coefficients.

8M

b) Explain the construction and working of a Ruby laser.

7M

10. a) What is Numerical aperture of an optical fiber? Obtain an expression for it. 8M b) Explain the numerical aperture and acceptance cone? Calculate the numerical

aperture and acceptance angle for an optical fiber with core and cladding refractive indices being 1.48 and 1.45 respectively.

7M




ENGINEERING CHEMISTRY (Common to Computer Science and Engineering, Information Technology &

Electronics and Communication Engineering)



Unit – I

1. a) State and explain Kolrausch’s law. Give two applications of it. 8M b) Define single electrode potential. What is the significance of Nernst equation?

7M

2. a) Define the terms specific conductance, equivalent conductance and molar conductance and Explain the effect of dilution.

7M

b) What is fuel cell? Describe hydrogen – oxygen fuel cell.

8M

Unit – II

3. a) How do you estimate temporary hardness of water by EDTA method? 7M b) What is brackish water? Describe the desalination of water by reverse osmosis.

8M

4. a) Compare zeolite method with ion exchange method in softening of water. 10M b) The hardness of 10,000 liters of water sample was completely removed by zeolite

softener. The zeolite softener required 60 ml of NaCl containing 1.5kg/liter of NaCl for regeneration. Calculate the hardness of the water sample.

5M

Unit – III

5. a) What is an adsorption isotherm? Derive an expression for Langmuir adsorption isotherm.

6M

b) How are the following polymer are synthesized and give one application of each? i. Thikol rubber ii. Teflon iii. Buna-S

9M

6. a) Explain the following: i. Tyndal effect ii. Application of Nano materials

7M

b) Write a note on compounding and fabrication of plastics.

8M

Unit – IV

7. a) What are the chemical fuels? Give their classification with suitable examples. 5M

b) What is refining of petroleum? How it is carried out? Mention the different components, their composition and applications.

10M

8. a) Discuss an ultimate analysis of coal. 8M

b) The percentage composition of fuel sample is C=85%, H=5% O=6% N=4%, S=2% ash=5% and moisture=3%. Calculate the minimum amount of air required for complete combustion of 1kg of coal. Calculate the weight and volume of air required if it is supplied in 40% excess.

7M

Cont…2

::2::

Unit – V

9. a) How do you manufacture Portland cement? Explain. 8M b) Explain the following characteristics of a refractory materials:

i. Refractoriness ii. Chemical inertness

7M

10. a) State Phase rule. Explain the terms involved in it with suitable examples. 8M b) What is meta stable state equilibrium? Explain this system in H20 system. 7M




ENGINEERING CHEMISTRY




Unit – I

1. a) What is electrochemical series and give its applications? 7M b) Describe the construction, working and merits of Hydrogen -Oxygen Fuel Cell.

8M

2. a) Explain Electrochemical theory of Corrosion and what are the general methods to minimize it.

8M

b) Discuss the principle of electroplating and write its merits and demerits. 7M

Unit – II

3. a) What is desalination? Describe the desalination of water by reverse osmosis process along with the principle involved.

7M

b) Explain any two internal water treatment methods. A sample of water contains 15.5mg/lit. of Ca(HCO3)2, 29.2mg/lit. of Mg (HCO3)2, 0.475 mg/lit. of MgCl2 and 13.6mg/lit. of CaSO4. Calculate the temporary hardness and permanent hardness. [Mol. Wts of Ca (HCO3)2=162; Mg (HCO3)2=146; MgCl2=95 and CaSO4=136].

8M

4. a) Explain internal treatment of hard water by: i. Colloidal conditioning ii. Phosphate conditioning iii. Calgon conditioning with relevant reactions

8M

b) Describe zeolite process of softening hard water. Calculate the amount of lime required for softening 50,000 litre of hard water containing; CaCO3=25ppm, MgCO3=144ppm, CaCl2=111ppm , MgCl2=95ppm, Na2SO4=15ppm, Fe2O3= 25ppm.

7M

Unit – III

5. a) Describe the differences between thermoplastic and thermosetting resins with two examples each.

7M

b) Write preparation, uses and engineering applications of following polymers: i. PVC ii. Polyester

8M

6. a) Explain the functions of various ingredients of cement. 8M b) Describe with a help of neat diagram of rotary kiln, for the manufacture of Portland

cement. 7M

Unit – IV

7. a) How the petroleum is refined and explain its principle? 8M b) Give a detailed account of Fischer Tropsch’s method of synthesizing petrol and why its

quality is superior to straight run petrol.

7M

8. a) Explain the proximate and ultimate analysis of coal. 8M b) Give the analysis of flue gas by Orsat’s method with neat diagram. 7M

Cont…2

:: 2 ::

Unit – V

9. a) What is Gibb’s Phase Rule? Explain the terms involved in it with suitable examples. 8M b) Draw and explain Lead- silver phase diagram.

7M

10. a) Write any two methods of preparation of nano materials and write their applications. 8M b) Explain Langmuir adsorption isotherm and write about its limitations. 7M




ENGINEERING CHEMISTRY




Unit – I

1. a) What is electrochemical series and give its applications? 7M b) Describe the construction, working and merits of Hydrogen -Oxygen Fuel Cell.

8M

2. a) Explain Electrochemical theory of Corrosion and what are the general methods to minimize it.

8M

b) Discuss the principle of electroplating and write its merits and demerits. 7M

Unit – II

3. a) What is desalination? Describe the desalination of water by reverse osmosis process along with the principle involved.

7M

b) Explain any two internal water treatment methods. A sample of water contains 15.5mg/lit. of Ca(HCO3)2, 29.2mg/lit. of Mg (HCO3)2, 0.475 mg/lit. of MgCl2 and 13.6mg/lit. of CaSO4. Calculate the temporary hardness and permanent hardness. [Mol. Wts of Ca (HCO3)2=162; Mg (HCO3)2=146; MgCl2=95 and CaSO4=136].

8M

4. a) Explain internal treatment of hard water by: iv. Colloidal conditioning v. Phosphate conditioning vi. Calgon conditioning with relevant reactions

8M

b) Describe zeolite process of softening hard water. Calculate the amount of lime required for softening 50,000 litre of hard water containing; CaCO3=25ppm, MgCO3=144ppm, CaCl2=111ppm , MgCl2=95ppm, Na2SO4=15ppm, Fe2O3= 25ppm.

7M

Unit – III

5. a) Describe the differences between thermoplastic and thermosetting resins with two examples each.

7M

b) Write preparation, uses and engineering applications of following polymers: iii. PVC iv. Polyester

8M

6. a) Explain the functions of various ingredients of cement. 8M b) Describe with a help of neat diagram of rotary kiln, for the manufacture of Portland

cement. 7M

Unit – IV

7. a) How the petroleum is refined and explain its principle? 8M b) Give a detailed account of Fischer Tropsch’s method of synthesizing petrol and why its

quality is superior to straight run petrol.

7M

8. a) Explain the proximate and ultimate analysis of coal. 8M b) Give the analysis of flue gas by Orsat’s method with neat diagram. 7M

Cont…2

:: 2 ::

Unit – V

9. a) What is Gibb’s Phase Rule? Explain the terms involved in it with suitable examples. 8M b) Draw and explain Lead- silver phase diagram.

7M

10. a) Write any two methods of preparation of nano materials and write their applications. 8M b) Explain Langmuir adsorption isotherm and write about its limitations. 7M




NUMERICAL METHODS (Common to Electronics and Communication Engineering & Mechanical Engineering)



Unit – I

1.

a) Find the real root of the equation 3 1 0x x using bisection method.

7M b) Solve the following using Jacobi’s iteration method taking 1.8, 0.8 and -1.2 as initial

approximations to the solution.

5 9

5 2 4

5 6

x y

x y z

y z

8M

2.

a) Find the root of 102 log 7x x which lies between 3.5 and 4 correct to 4 decimal places

using Regula-Falsi method.

7M

b) Solve the following using Gauss-Seidel method:

27 6 85

6 15 2 72

54 110

x y z

x y z

x y z

8M

Unit – II

3. a) The deflection ‘d’ measured at the various distances ‘x’ from one end of a cantilever are given below:

x: 0.0 0.2 0.4 0.6 0.8 1.0

d: 0.0000 0.035 0.117 0.2165 0.2995 0.334

By Newton’s backward interpolation formula find ‘d’ for x = 0.95

7M

b) Estimate f(30), using Gauss’s forward interpolation formula given:

x: 21 25 29 33 37

f(x): 18.4708 17.8144 17.107 16.3432 15.5154

8M

4. a) The population of a town is as follows:

Year 1921 1931 1941 1951 1961 1971

Population (in lakhs) 20 24 29 36 46 51

Estimate the increase in population during the period 1955 to 1961.

8M

b) Using Lagrange’s interpolation formula to find ( )f x at 6x from the data

x 3 7 9 10 ( )f x 168 120 72 63

7M

Unit – III

5.

a) Use Simpson’s (1/3)rd rule to find 2

0.6

0

xe dx

by taking 7 ordinates

7M

b) Given:

x 1.0 1.2 1.4 1.6 1.8 2.0 2.2

y 2.72 3.32 4.06 4.96 6.05 7.39 9.02

Find dy

dx and

2

2

d y

dx at 2.2x

8M

Cont…2

:: 2 ::

6. a) Fit a curve of the form y ax b to the following data and hence find y when

30x

x 5 10 15 20 25

y 16 19 23 26 30

7M

b) Fit a curve of the form xy ab to the following data:

x 0 2 4 5 7 10

y 100 120 256 390 710 1600

8M

Unit – IV

7.

a) Using Picard’s method of successive approximation to solve 1dy

xydx

given

0y when 0x up to third approximation and obtain y when 0.2x

7M

b) Given 2 1dy

x ydx

and (1) 1, (1.1) 1.233, (1.2) 1.548y y y and

(1.3) 1.979y , evaluate (1.4)y by Adams-Bashforth method.

8M

8.

a) Use Euler’s modified method to compute y at 0.05x and 0.1x given

dyx y

dx with (0) 1y . Perform two corrections at each step.

7M

b) Apply Milne’s method to find a solution of the differential equation 2dyx y

dx at

0.8x given (0) 0, (0.2) 0.02, (0.4) 0.0795y y y and (0.6) 0.1762y .

8M

Unit – V

9. Given the values of u(x, y) on the boundary of square given below, evaluate the function u(x, y) satisfying laplace equation at the pivotal points of the square.

1000 1000 1000 1000

2000 u1 u2

2000 u3 u4

1000 500 0 0

15M

10. Explain Schmidt explicit method with an example. 15M




PROBABILITY THEORY AND NUMERICAL METHODS

(Civil Engineering)



Unit – I

1. a) State and prove addition theorem for two events. 7M

b) A class consists of 5 girls and 10 boys. If a committee of 3 is chosen at random,

one after the other from the class, find the probability that:

i. First two are boys and third is girl

ii. First and third boys and second is girl

iii. First and third of same sex and the second is of opposite sex

8M

2. a) A box contains 9 tickets numbered 1 to 9 inclusive. If 3 tickets are drawn from the

box one at a time, find the probability that they are alternatively either odd, even,

odd

or even, odd, even.

7M

b) Companies B1, B2, B3 produce 30%, 45%, 25% of the cars respectively is known

that 2%, 3% and 2% of the cars produced from B1, B2, B3 are defectives. If a car

purchased is found to be defective. What is the probability that this car is produced

by companyB3.

8M

Unit – II

3.

a) A random variable has ( ) 2 xp x , 1,2,3,.....x . Show that ( )p x is a probability

function. Also find:

i. ( )P X even

ii. ( 3)P X being divisibleby

iii. ( 5)P X

8M

b) In 108 litters of 4 mice, the number of litters which contained 0, 1, 2, 3, 4 females

are recorded below. Fit a Binomial distribution:

Number of female mice 0 1 2 3 4

Number of litters 8 32 34 25 9

7M

4.

a) Find the constant k such that 2 , 0 3

( )0 ,

kx xf x

otherwise

is a p.d.f.

Also compute: (1 2)P x , ( 1)P x , ( 1)P x , Mean, Variance.

8M

b) In an examination 7% of students score less than 35% marks and 89% of students

score less than 60% marks. Find the mean and standard deviation if the marks are

normally distributed. (Given that 1.226 0.39 1.4757 0.43A and A , where A z

is the area under the standard normal curve from 0 0)to z .

7M

Cont…2

:: 2 ::

Unit – III

5. a) Using Newton-Raphson method find the real root of the equation 0cossin xxx near x correct to 4 decimal places.

7M

b) The table gives the distances(y) in nautical miles of the visible horizon for the

given

height x in feet above the earth’s surface:

x 200 250 300 350 400 y 15.04 16.81 18.42 19.90 21.27

Find the values of y when 200 x ft

8M

6. a) Using Lagrange’s interpolation formula find f(11) from the data.

x 2 5 8 14

f x 94.8 87.9 81.3 68.7

6M

b) Find the root of the equation 102 log 7x x , which lies between 3.5 and 4 by

Regula-Falsi method.

9M

Unit – IV

7. a) Find the first and second derivative of the function tabulated below at the point

0.6 :x

x 0 0.2 0.4 0.6 0.8 1.0 1.2 y 0 0.12 0.49 1.12 2.02 3.20 4.67

8M

b) Evaluate dxe x

2

0

2

using Simpson’s rule taking 0.25h

7M

8. a) Using least squares method fit a straight line for the following data:

x 0 1 2 3 y 11.8 3.3 4.5 6.3

7M

b) Using least squares method fit a second degree polynomial for the following data:

x 0 1 2 3 y 11.8 1.3 2.5 6.3

8M

Unit – V

9.

a) Given 2 1dy

x ydx

and 1 1, 1.1 1.244, 1.2 1.548, 1.3 1.979y y y y ,

evaluate 1.4y by Adams-Bashforth method.

8M

b) Solve the initial value problem 2yxdx

dy with y(0)=1 to find y(0.2) by Runge-

Kutta 4th

order method using step length 0.1.h

7M

10. a) Employ Taylor’s method to obtain approximate value y of 0.2x , for the

differential equation 2 3 , 0 0xdyy e y

dx . Compare the numerical solution

obtained with exact solution.

6M

b) Using Modified Euler’s method, find an approximate value of y when 0.4x ,

given that logdy

x ydx

and 2 when 0y x taking step size 0.2h

.Perform 3 iterations at each stage.

9M




PROBABILITY THEORY AND NUMERICAL METHODS

(Common to Electronics and Communication Engineering, Mechanical Engineering & Civil Engineering)



Unit – I

1. a) State and prove addition theorem for two events. 7M b) A class consists of 5 girls and 10 boys. If a committee of 3 is chosen at random,

one after the other from the class, find the probability that: iv. First two are boys and third is girl v. First and third boys and second is girl vi. First and third of same sex and the second is of opposite sex

8M

2. a) A box contains 9 tickets numbered 1 to 9 inclusive. If 3 tickets are drawn from the box one at a time, find the probability that they are alternatively either odd, even, odd or even, odd, even.

7M

b) Companies B1, B2, B3 produce 30%, 45%, 25% of the cars respectively. is known that 2%, 3% and 2% of the cars produced from B1, B2, B3 are defectives. If a car purchased is found to be defective. What is the probability that this car is produced by companyB3.

8M

Unit – II

3.

a) A random variable has ( ) 2 xp x , 1,2,3,.....x . Show that ( )p x is a probability

function. Also find: iv. ( )P X even

v. ( 3)P X being divisibleby

vi. ( 5)P X

8M

b) In 108 litters of 4 mice, the number of litters which contained 0, 1, 2, 3, 4 females are recorded below. Fit a Binomial distribution:

Number of female mice 0 1 2 3 4

Number of litters 8 32 34 25 9

7M

4.

a) Find the constant k such that 2 , 0 3

( )0 ,

kx xf x

otherwise

is a p.d.f.

Also compute: (1 2)P x , ( 1)P x , ( 1)P x , Mean, Variance.

8M

b) In an examination 7% of students score less than 35% marks and 89% of students score less than 60% marks. Find the mean and standard deviation if the marks are normally distributed. (Given that 1.226 0.39 1.4757 0.43A and A , where A z

is the area under the standard normal curve from 0 0)to z .

7M

Cont…2

:: 2 ::

Unit – III

5. a) Using Newton-Raphson method find the real root of the equation 0cossin xxx near x correct to 4 decimal places.

7M

b) The table gives the distances(y) in nautical miles of the visible horizon for the given height x in feet above the earth’s surface:

x 200 250 300 350 400 y 15.04 16.81 18.42 19.90 21.27

Find the values of y when 200 x ft

8M

6. a) Using Lagrange’s interpolation formula find f(11) from the data.

x 2 5 8 14

f x 94.8 87.9 81.3 68.7

6M

b) Find the root of the equation 102 log 7x x , which lies between 3.5 and 4 by

Regula-Falsi method.

9M

Unit – IV

7. a) Find the first and second derivative of the function tabulated below at the point 0.6 :x

x 0 0.2 0.4 0.6 0.8 1.0 1.2 y 0 0.12 0.49 1.12 2.02 3.20 4.67

8M

b) Evaluate dxe x

2

0

2

using Simpson’s rule taking 0.25h

7M

8. a) Using least squares method fit a straight line for the following data:

x 0 1 2 3 y 11.8 3.3 4.5 6.3

7M

b) Using least squares method fit a second degree polynomial for the following data:

x 0 1 2 3 y 11.8 1.3 2.5 6.3

8M

Unit – V

9.

a) Given 2 1dy

x ydx

and 1 1, 1.1 1.244, 1.2 1.548, 1.3 1.979y y y y ,

evaluate 1.4y by Adams-Bashforth method.

8M

b) Solve the initial value problem 2yxdx

dy with y(0)=1 to find y(0.2) by Runge-

Kutta 4th order method using step length 0.1.h

7M

10. a) Employ Taylor’s method to obtain approximate value y of 0.2x , for the

differential equation 2 3 , 0 0xdyy e y

dx . Compare the numerical solution

obtained with exact solution.

6M

b) Using Modified Euler’s method, find an approximate value of y when 0.4x ,

given that logdy

x ydx

and 2 when 0y x taking step size 0.2h

.Perform 3 iterations at each stage.

9M




BASIC ELECTRICAL ENGINEERING

(Common to Computer Science and Engineering & Information Technology)



UNIT-1

1. a) Write a note on: i. Dependent and independent sources ii. Practical voltage source

6M

b) Two resistors are connected in parallel across 100V supply mains takes 10A from the line. The power dissipated in one coil is 600W. What is the resistance of the other coil?

9M

2. a) The resistance of 2 wires is 16 when connected in series and 3 when connected in parallel. Calculate the resistance of each wire.

7M

b) Determine the current in 12 resistor shown in Fig.1. using source transformation

Fig.1

8M

UNIT-II

3. a) Determine the mesh current I1 and I2 for the circuit shown I Fig.2.

Fig.2

8M

b) Determine the equivalent resistance between the terminals A & B for the network shown in Fig.3.

Fig.3

7M

Cont…2

:: 2 ::

4. a) Apply loop current method to find loop currents I1, I2 and I3 in the circuit shown in Fig.4.

Fig.4

7M

b) Explain about super mesh and super node analysis with suitable example. 8M

UNIT-III

5. a) Define the pf, frequency, phase and phase difference of AC quantities with neat sketches.

8M

b) An alternating voltage of V = 100 Sin 376. 8t is applied to a circuit coinsisting of a coil

having a resistance of 6 and an inductance of 21.22mH: i. Find the expression for instantaneous current ii. Calculate the RMS voltage, real power and frequency

7M

6. a) A coil having 6Ohm resistor and inductance of 25.5mH is energized from 440V, 50Hz supply. Calculate the current to make the overall power factor to unity what value of capacitor is to be connected is parallel with the coil. Draw the vector diagram.

8M

b) Derive the expression for the resonant frequency of a parallel AC circuit. Draw the relevant circuit diagram.

7M

UNIT-IV

7. a) Show that the form factor of the half wave rectified sinusoidal alternating current is 1.57.

10M

b) A 4Ω resistor is connected to a 10mH inductor across a 100V150Hz voltage source. Find input current, voltage drops across resistor and inductor, power factor of the circuit and the real power consumed in the circuit.

5M

8. a) Derive an expression for coefficient of coupling in terms of mutual inductance and self-inductances.

8M

b) Explain the turns mmf, magnetic flux reluctance and flux density. 7M

UNIT-V

9. a) For the network shown in Fig.5. Select a tree and draw the set schedule. Find the relation between branch currents and loop currents.

Fig.5

6M

b) i. Explain the step’s involved in writing a dual of a given network ii. Prove that AD – BC = 1 for a reciprocal network

9M

10. a) Explain the following terms: i. Graph ii. Tree iii. Planar and non planar graph

6M

b) i. Draw the dual of the network shown in Fig.6 ii. Obtain Z in terms of ABCD parameters

Fig.6

9M




ELECTRONIC DEVICES (Common to Electronics and Communication Engineering &

Electrical and Electronics Engineering) Date: 30 December, 2016 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) Derive the Conductivity of a semiconductor. 10M b) Determine the number density of donor atoms which have to be added to an

intrinsic semiconductor to produce an n-type semiconductor of conductivity 5Ω-1Cm-1. µn=3850m2V-1s-1.

5M

2. a) Differentiate Intrinsic and extrinsic Semiconductors. 8M b) In an N type semiconductor, the femilevel is 0.24 eV below the conduction

band at a room temperature of 300 k. if the temperature is increased to 350 K, determine the new position of Fermi level.

7M

Unit – II

3. a) Explain different breakdown mechanisms in a Diode. 8M b) The current flowing through a p-n junction Si diode is 60mA for a forward bias of

0.9v at 300K.Determine the static and dynamic resistance of the diode.

7M

4. a) Explain the operation of p-n diode in forward and reverse bias with V-I Characteristics.

8M

b) Calculate the rise in temperature if the reverse saturation current in a p-n junction

diode increases by a factor of 50.

7M

Unit – III

5. a) Derive the ripple factor for the capacitor filter. 10M b) Determine ID, VD2 and Vo for the circuit.

Fig.1

5M

6. a) Compare various rectifiers with respect to different parameters. 7M b) With neat sketches Explain the operation and Characteristics of LED.

8M

Unit – IV

7. a) Draw a diagram indicating the transistor current components for a forward-biased emitter junction and a reverse biased collector junction. Explain the different current components.

8M

b) The transistor used in a common emitter circuit has β = 39 and collector to base leakage current ICBO=3μA. Determine the value of α, ICEO, the collector current and emitter current in the transistor if the base current is 80μA.

7M

Cont…2

:: 2 ::

8. a) Explain the difference between enhancement mode and depletion mode MOSFETs. Sketch the cross sectional view of an Enhancement mode MOSFET. Explain its operation with characteristics.

8M

b) Explain the working of a Uni-Junction transistor (UJT) with an equivalent circuit and mathematical relations.

7M

Unit – V

9. a) With circuit diagrams, explain the biasing of JFET and MOSFET. 8M b) A silicon-type transistor used in collector-to-base bias in CE configuration

circuit has β=50, Vcc=10V, and Rc=250Ω. Calculate the value of collector-to base resistance, Rb and also the Stability factor, S. Assume VBE = 0.6V, at Q-point VCE = 5.1V and IC = 20mA.

7M

10. a) Explain the need for Biasing. 6M

b) For the Voltage-Divider Biasing Arrangement using the n-channel enhancement-type MOSFET determine VGS, VDS.

9M




ELECTRONIC DEVICES AND CIRCUITS (Common to Computer Science and Engineering & Information Technology)



Unit – I

1. a) Draw and explain V-I Characteristics of diode and derive diode current equation. 9M b) The reverse saturation current of a germanium diode is 100 µA. at room

temperature of 27oC. Calculate the current in forward biased condition, if forward bias voltage is 0.2V at room temperature.

6M

2. a) Draw and explain a full wave rectifier with shunt capacitor filter. Obtain the expression for ripple factor for full wave rectifier using shunt capacitor filter.

9M

b) Calculate the value of ‘C’ that has to be used for the capacitor filter of a full wave rectifier to get a ripple factor of 0.01%. The rectifier supplies a load of 2kΩ while the supply frequency is 50Hz.

6M

Unit – II

3. a) With neat diagram, explain the working of NPN junction transistor CE

configuration with input and output characteristics. 9M

b) Define the terms α, β and γ of the transistor and derive the relations between them.

6M

4. a) Explain the construction and operation of a N-Channel JFET with relevant

diagrams

9M

b) Describe the volt-ampere characteristics of a Depletion MOSFET with neat

diagram.

6M

Unit – III

5. a) Draw and explain voltage divider bias circuit with diagrams and derive expression

for stability factor. 9M

b) Define different bias compensation techniques used to stabilize an amplifier.

6M

6. a) With a neat sketch, Explain fixed bias circuit of N-Channel JFET. 9M

b) Considering common emitter amplifier explain the criterion for selection of a

suitable operating point.

6M

Unit – IV

7. a) Explain the analysis of a transistor amplifier circuit using h parameters. 9M

b) Derive the equations for the voltage gain, current gain, input impedance for a BJT

using low frequency h-parameter mode for a CC configuration.

6M

8. a) Discuss and compare various transistor amplifier configurations. 6M

b) A CE amplifier is drawn by a voltage source of internal resistance rs=800Ω and

load resistance RL=1000Ω. The h-parameters are hie=1KΩ,hre=2X10-4

,hfe=50 and

hoe=25μA/v. Compute the:

i. Current gain Ai

ii. Input resistance Ri

iii. Voltage gain Av

iv. Output resistance Ro using exact analysis

9M

Cont…2

:: 2 ::

Unit – V

9. a) Explain with circuit diagram of a negative feedback amplifier and obtain the expression for its closed loop gain.

9M

b) An amplifier has voltage gain with feedback is 100. If the gain without feedback changes by 20%.and the gain with feedback should not vary more than 2%.Determine the values of open loop gain A and feedback ratio β.

6M

10. a) With neat diagram, explain the working of Hartley oscillator and derive the expressions for frequency of oscillation and condition for oscillation.

9M

b) Design a colpitt’s oscillator with C1=0.2μF and C2=0.02μF and frequency of oscillation is 10KHz. Find the value of inductor and also required gain for oscillation.

6M




ELECTRONIC DEVICES AND CIRCUITS (Common Computer Science and Engineering, Information Technology,

Electronics and Communication Engineering & Electrical and Electronics Engineering) Date: 30 December, 2016 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) Draw and explain V-I Characteristics of diode and derive diode current equation. 9M b) The reverse saturation current of a germanium diode is 100 µA. at room

temperature of 27oC. Calculate the current in forward biased condition, if forward bias voltage is 0.2V at room temperature.

6M

2. a) For diodes, define:

i. Forward voltage drop

ii. Maximum forward current

iii. Dynamic resistance

iv. Reverse saturation current

v. Reverse breakdown voltage

9M

b) The diode current is 0.6mA when the applied voltage is 500mV. Determine the

value of , assume q

KT=25mV. Given I0=0.1A.

6M

Unit – II

3. a) Explain the characteristic of Tunnel diode and also draw its equivalent circuit. 8M b) Explain the working of a Varactor diode. Where are they applied?

7M

4. a) Draw and explain a full wave rectifier with shunt capacitor filter. Obtain the expression for ripple factor for full wave rectifier using shunt capacitor filter.

9M

b) Calculate the value of ‘C’ that has to be used for the capacitor filter of a full wave rectifier to get a ripple factor of 0.01%. The rectifier supplies a load of 2kΩ while the supply frequency is 50Hz.

6M

Unit – III

5. a) With neat diagram, explain the working of NPN junction transistor CE configuration with input and output characteristics.

9M

b) Define the terms α, β and γ of the transistor and derive the relations between them.

6M

6. a) Explain the construction and operation of a N-Channel JFET with relevant diagrams

9M

b) Describe the volt-ampere characteristics of a Depletion MOSFET with neat diagram.

6M

Unit – IV

7. a) Draw and explain voltage divider bias circuit with diagrams and derive expression for stability factor.

9M

b) Define different bias compensation techniques used to stabilize an amplifier.

6M

8. a) With a neat sketch, Explain fixed bias circuit of N-Channel JFET. 9M

b) Considering common emitter amplifier explain the criterion for selection of a suitable operating point.

6M

Cont…2

:: 2 ::

Unit – V

9. a) Explain the analysis of a transistor amplifier circuit using h parameters. 9M

b) Derive the equations for the voltage gain, current gain, input impedance for a BJT using low frequency h-parameter mode for a CC configuration.

6M

10. a) Draw the circuit diagram of common Drain configuration and derive an expression for Zi, Zo and Av using small signal model.

8M

b) For the common gate amplifier, IDSS=10mA, Vp= -4v, Rs=1.1kΩ, RD=3.6kΩ,rd=20kΩ, find gm, Zi, Zo and Av.

7M




BASIC ELECTRONICS (Common to Mechanical Engineering & Civil Engineering)



Unit – I

1. a) Draw and explain about volt ampere characteristics of PN Junction Diode. 6M b) Design a Zener voltage regulator to maintain output voltage of 20 volts across 2KΩ

load when input voltage range is 30-50 volts. Consider minimum zener current Iz

as 5mA.

9M

2. a) With a neat VI characteristics of Zener diode explain the operation of a zener diode and explain Zener diode as a voltage regulator.

8M

b) Given full wave centre, tapped rectifier with Vdc=120, RL=250KΩ. Find Vm, Idc, PIV, Peak current through each of the diodes.

7M

Unit – II

3. a) Draw and explain the input and output characteristics of a transistor in CB configuration and also indicate cut off, saturation and active regions.

8M

b) For the fixed-bias circuit of Fig.1 shown below determine the operating point (given the transistor gain β = 100, VBE = 0.7 v) and also draw the dc load line for the circuit.

Fig.1

7M

4. a) Draw and explain the input and output characteristics of a transistor in CC configuration and also indicate cut off, saturation and active regions.

8M

b) Write a short note on self-bias configurations.

7M

Unit – III

5. a) The h-parameters of the transistor used in CE amplifier are hfe=50, hie=1.1K, hre=2.5x10-4, hoe=24μ A/V. Find out current gain and voltage gain , input and output impedances the given that RL= 10K and RS=1 K.

8M

b) Derive Av, AI, Ri, Ro for BJT in CC Configuration (Approximate Analysis).

7M

6. a) Define h-Parameters? Draw h-parameter model of BJT? Why h-parameter model is applied to BJT.

8M

b) Draw and explain about how a transistor acts as an amplifier. 7M

Cont…2

:: 2 ::

Unit – IV

7. a) Explain the major advantages of using negative feedback in amplifiers. 7M b) With a neat circuit diagram, explain the operation of Hartley oscillator.

8M

8. a) Derive the expression for the Frequency of oscillations of Weinbridge oscillator. 9M b) Derive Ri, Ro for Current Series Feedback amplifier.

6M

Unit – V

9. a) Convert the following: i. (1101.1)2 to decimal equivalent ii. (1101.101)2 to decimal equivalent iii. (9B2.1A)H to decimal equivalent iv. (3102.12)4 to decimal equivalent

8M

b) Simplify and realize the following expression using NAND gates only. Y = AB’C’+A’B’C’+ A’B’ + A’C’

7M

10. a) Perform the subtraction of binary numbers using 2’s complement:

i. 11011 – 10100

ii. 11011 - 100101

7M

b) Implement the Boolean expression for EX-OR gate using only NAND gates and

also implement EX-NOR gate using only NOR gates. 8M




BASIC ELECTRICAL AND ELECTRONICS ENGINEERING

(Aeronautical Engineering)



Unit – I

1. a) State and explain ohm’s law and mention its limitations. 6M b) If 20 V is applied across the terminals AB, to the circuit shown in Fig.1. Calculate

the total current, the power dissipated in each resistor.

Fig.1

9M

2. a) State and explain Faraday’s laws of electromagnetic induction. 6M b) Calculate the power delivered to 16Ω resistor in the circuit shown in Fig.2:

Fig.2

9M

Unit – II

3. a) Define form factor and determine its value for sinusoidal wave. 7M b) Given V =200 sin 377t volts and I=8 sin(377t-30°)amps for an A.C. circuit,

determine: i. Power factor ii. True power iii. Apparent power iv. Reactive power

8M

4. a) A sinusoidally varying alternating voltage has an RMS value of 100V. Write down the mathematical form for the instantaneous voltage, if frequency is 50 Hz. Also find: i. The instantaneous value at 1.25 milli seconds. ii. Find the instant at which the voltage attains 70.71 Volts

7M

b) A circuit having a resistance of 20 Ω and an inductance of 0.07H is connected in

parallel with a series combination of 50 Ω resistance and 60 F capacitance. Calculate the total current, when the parallel combination is connected across a 230V, 50 Hz supply.

8M

Cont…2

::2::

Unit – III

5. a) Mention the advantages and disadvantages of a Permanent Magnet Moving Coil instrument and a Moving Iron instrument.

7M

b) State and explain super position theorem with an example.

8M

6. a) Mention the applications of CRO. 6M b) Find the Thevenin’s equivalent of the network shown below in the Fig.3 at the

terminals AB. Determine the current through the load resistor of 4Ω connected across the terminals AB:

Fig. 3

9M

Unit – IV

7. a) Draw the volt–ampere characteristics of a PN junction diode. Give the diode current equation. Mention the typical values of cut in voltage for germanium and silicon diodes.

7M

b) A half wave rectifier circuit is supplied from a 230V, 50Hz supply with a step down ratio of 3:1 to a resistive load of 10kΩ. The diode forward resistance is 75Ω while the transformer secondary resistance is 10Ω. Calculate: i. RMS value of voltage ii. DC output voltage iii. Efficiency of rectification iv. Ripple factor

8M

8. a) Explain with neat diagram and output waveforms, the working of a half wave rectifier.

7M

b) Explain the two types of junction capacitances in a PN junction diode.

8M

Unit – V

9. a) Compare CE, CC and CB transistor configurations with respect to: i. Ri ii. R0 iii. Ai iv. Av v. Phase relation between I/P and O/P vi. Application

9M

b) Obtain the relationship between dc and βdc.

6M

10. a) Which are the minority and majority charge carriers of NPN Transistor? Explain the flow of these charge carriers in Transistor Operation

9M

b) A transistor amplifier if connected in CE mode has β=100 and IB=50A. Compute

the value of IC, IE and .

6M




BASIC ELECTRICAL AND ELECTRONICS ENGINEERING

(Civil Engineering)



Unit – I

1. a) State and explain ohm’s law and mention its limitations. 6M b) If 20 V is applied across the terminals AB, to the circuit shown in Fig.1. Calculate

the total current, the power dissipated in each resistor.

Fig.1

9M

2. a) State and explain Faraday’s laws of electromagnetic induction. 6M b) Calculate the power delivered to 16Ω resistor in the circuit shown in Fig.2:

Fig.2

9M

Unit – II

3. a) Define form factor and determine its value for sinusoidal wave. 7M b) Given V =200 sin 377t volts and I=8 sin(377t-30°)amps for an A.C. circuit,

determine: v. Power factor vi. True power vii. Apparent power viii. Reactive power

8M

4. a) A sinusoidally varying alternating voltage has an RMS value of 100V. Write down the mathematical form for the instantaneous voltage, if frequency is 50 Hz. Also find: iii. The instantaneous value at 1.25 milli seconds. iv. Find the instant at which the voltage attains 70.71 Volts

7M

b) A circuit having a resistance of 20 Ω and an inductance of 0.07H is connected in

parallel with a series combination of 50 Ω resistance and 60 F capacitance. Calculate the total current, when the parallel combination is connected across a 230V, 50 Hz supply.

8M

Cont…2

::2::

Unit – III

5. a) Mention the advantages and disadvantages of a Permanent Magnet Moving Coil instrument and a Moving Iron instrument.

7M

b) State and explain super position theorem with an example.

8M

6. a) Mention the applications of CRO. 6M b) Find the Thevenin’s equivalent of the network shown below in the Fig.3 at the

terminals AB. Determine the current through the load resistor of 4Ω connected across the terminals AB:

Fig. 3

9M

Unit – IV

7. a) Draw the volt–ampere characteristics of a PN junction diode. Give the diode current equation. Mention the typical values of cut in voltage for germanium and silicon diodes.

7M

b) A half wave rectifier circuit is supplied from a 230V, 50Hz supply with a step down ratio of 3:1 to a resistive load of 10kΩ. The diode forward resistance is 75Ω while the transformer secondary resistance is 10Ω. Calculate: v. RMS value of voltage vi. DC output voltage vii. Efficiency of rectification viii. Ripple factor

8M

8. a) Explain with neat diagram and output waveforms, the working of a half wave rectifier.

7M

b) Explain the two types of junction capacitances in a PN junction diode.

8M

Unit – V

9. a) Compare CE, CC and CB transistor configurations with respect to: vii. Ri viii. R0 ix. Ai x. Av xi. Phase relation between I/P and O/P xii. Application

9M

b) Obtain the relationship between dc and βdc.

6M

10. a) Which are the minority and majority charge carriers of NPN Transistor? Explain the flow of these charge carriers in Transistor Operation

9M

b) A transistor amplifier if connected in CE mode has β=100 and IB=50A. Compute

the value of IC, IE and .

6M




COMPUTATIONAL TECHNIQUES (Common to Electronics and Communication Engineering & Mechanical Engineering)



Unit – I

1.

a) Compute the real root of x 10log 1.2 0x by the method of false position.

7M

b) Solve the equations 5x−y+z=10; 2x+8y−z=11; −x+y+4z=3 by Jacobi method.

8M

2. a) Find the real root of the equation 3x=cosx+1 by Newton-Raphson’s method. 7M b) Solve the equations 28x+4y−z=32; 2x+17y+4z=35; x+3y+10z=24 by Gauss-seidel

method.

8M

Unit – II

3.

a) Evaluate 2 2 3

2 3x x

.

8M

b) Given sin45o=0.7071, sin50o=0.7660, sin55o=0.8192, sin60o=0.8660. Find sin58o using Newton’s interpolation formula.

7M

4. a) Following table gives the viscosity of oil as a function of temperature. Using Lagrange’s interpolation formula, find the viscosity of the oil when the temperature is 140oC:

Temperature 110 130 160 190

Viscosity 10.8 8.1 5.5 4.8

8M

b) Construct an interpolating polynomial which passes through the data points (4,1),(6,3),(8,8),(10,16).

7M

Unit – III

5. a) Fit a second degree parabola to the following data:

x 1.0 2.0 2.5 3.0 3.5 4.0 y 1.1 1.6 2.0 2.7 3.4 4.1

8M

b) Use Simpsons 1/3rd rule by dividing 0,

2

into 6 equal parts to evaluate

2

0

cos d

7M

6. a) Use the method of least squares to determine the values of constants in the equation that forms the curve y a bx for following data:

x 0.2 0.4 0.6 0.8 1.0 y 1.25 1.60 2.00 2.50 3.20

7M

b) Evaluate 6

2

01

dx

x using 1h :

i. Trapezoidal rule

ii. Simpson’s 3/8 rule

8M

Cont…2

::2::

Unit – IV

7. a) Given 1 and (0) 1y xy y find ‘y’ at x = 0.1 and 0.2 by Picard’s method. 7M

b) Given xdyy e

dx with initial condition y =0 at x = 0. Find ‘y’ for x = 0.2, 0.4 in steps

of 0.02 by modified Euler’s method.

8M

8. a) Apply the fourth order Runge – Kutta method with step length 0.2, to find an

approximate value of ‘y’ when x = 0.2, given that (0) 1dy y x

and ydx y x

.

7M

b) Given 2

dy xy

dx with y(0)=1, y(0.1)=1.0025, y(0.2)=1.0101and y(0.3)=1.0228

compute y(0.4) by Adams-Bashforth method.

8M

Unit – V

9. Solve 2

2

1

2

u u

x x

with the boundary condition u(0,t)= 0 = u(4,t) and u(x, 0)=x(4-x),

taking h=1 and employing the Bender-Schmidt recurrence equation. Continue the solution through ten time steps.

15M

10. An insulated rod of length ‘l’ has its ends A and B maintained at 00 C and 0100 C

respectively until steady state conditions prevent. If B is suddenly reduced to 00 C

and maintained at 00 C . Find the temperature at a distance x from A at time t.

15M




PROBABILITY, STATISTICS AND COMPUTATIONAL TECHNIQUES

(Common to Information Technology, Electrical and Electronics Engineering & Civil Engineering)



Unit – I

1. a) Two fair dice are thrown independently. Let A be the event of getting odd number on first dice. B be the event of getting odd number on second dice and C be the event that the sum of the digits on two dice is odd. Test whether the events A, B and C are pair wise independent.

7M

b) The diameter of an electric cable say ‘ ’X is assumed as continuous random variable with . . f 6 1– , 0 1:p d f x x x x

i. Verify that above f x is a valid p. d. f

ii. Determine 0 1b , such that 1

2P X b

8M

2. a) A distributor of bean seeds determines form extensive tests that 5% of large batch of seeds will not germinate. He sells the seeds in packets of 200 and guarantees 90% germination. Use Poisson distribution to determine the probability that a particular packet violates the guarantee.

7M

b) If 20% of the memory chips made in a certain plant are defective, use normal approximation to the binomial distribution to determine the probability that in a lot of 100 randomly chosen for inspection: i. At most 15 will be defective ii. Exactly 15 will be defective

8M

Unit – II

3. a) In the context of testing of hypothesis, define: i. Type-I and Type-II errors ii. Critical and Acceptance regions iii. Critical Values

7M

b) The mean weight loss of 16 grinding balls after an year in a mill slurry is 3.42 grams with a standard deviation of 0.68 grams. Construct a 99% confidence interval for the true mean weight loss of such grinding balls in a year.

8M

4. a) Explain the concept of Goodness of Fit. 5M b) From a random sample of 10 pigs fed on diet A, the increases in weight in a

certain period were 10, 6, 16, 17, 13, 12, 8, 14, 15, 9 lbs. For another sample of 12 pigs fed on diet B, the increases in the weight over same period were 7, 13, 22, 15, 12, 14, 18, 8, 21, 23, 10, 17 lbs. Test whether diets A and B differ significantly as regards their effect on increases in weight?

10M

Unit – III

5. a) Find a root for the equation 3 4 9 0x x using the bisection method in four stages.

6M

b) Use the method of false position, to find the fourth root of 32 correct to three decimal places.

9M

Cont…2

::2:: 6. a) Find by Newton’s method, the real root of the equation 3 cos 1x x 7M b) From the following table estimate the number of students who obtained marks

between 40 and 45:

Marks 30-40 40-50 50-60 60-70 70-80

No. of students 31 42 51 35 31

8M

Unit – IV

7. a) Fit a second degree polynomial to the following data by the method of least squares:

x 0 1.0 2.0 y 1.0 6.0 17.0

7M

b) Determine the constants ‘a’ and ‘b’ by the method of least squares such that bxy ae

x 2 4 6 8 10 y 4.077 11.084 30.128 81.897 222.62

8M

8.

Evaluate

6

01

dx

x taking 1,h using:

i. Trapezoidal rule ii. Simpson’s 1/ 3 rule iii. Simpson’s 3 / 8 rule

15M

Unit – V

9. a) Using Taylor’s method solve for ‘ ’y when 1.1x in steps of 0.1, given that

2 1x yx

d

d

y and 1 1y .

7M

b) Using Euler’s method solve 23 1dy

xdx

, 1 2y with step size 0.25h to evaluate

‘ ’y when 2x .

8M

10. Apply the fourth order Runge - Kutta method, to find ‘ ’y when 0.1, 0.2, 0.3x given

that 2dyxy y

dx and 0 1y . Continue the solution at 0.4x using Milne’s method.

15M


(AUTONOMOUS) B. Tech II Semester Supplementary Examinations, January - 2017


ENGINEERING MECHANICS (Common to Mechanical Engineering, Aeronautical Engineering & Civil Engineering)

Date: 02 January, 2017 Time: 3 hours Max Marks: 75


UNIT-I

1. a) State and explain the principle of transmissibility of forces, with a neat sketch. 7M b) The two forces shown in the sketch exert force on joint 0. Determine the

magnitude of the resultant ‘R’ of the two forces and the angle which R makes with the positive x – axis.

Fig.1

8M

2. A string ABCDE whose end A is fixed, has weights W1 and W2 attached to it at B and C and passes round a smooth peg at D carrying a weight of 800N at the free end E(Fig.2). If in a state of equilibrium, BC is horizontal and AB and CD make angles 150° and 120° res pectively with BC, find: i. The tensions in portions AB, BC, CD and DE of the string ii. The value of weights W1 and W2 iii. The pressure on the peg D

Fig.2

15M

UNIT-II

3. a) Explain the terms: i. Angle of Friction ii. Cone of friction

4M

b) Determine the magnitude and direction of the friction force which the vertical wall exerts on the 45kg block if: i. θ=150 ii. θ=300

Fig.3

11M

Cont…2

:: 2 ::

4. a) Explain the mechanism of Dry friction developed by coulomb. 5M b) Determine the magnitude and direction of the frictional force exerted by the

surface on the 50kg block if: i. P = 0 ii. P = 200N iii. P = 250N

Fig.4

10M

UNIT-III

5. a) Apply Pappus-Guldinus theorem to obtain: i. The centroid of a semi-circular arc of radius ‘r’ ii. The centroid of a quarter circular area of radius ‘r’

7M

b) Determine the position of the centre of gravity of the plane figure shown in Fig.5.

Fig.5

All dimensions are in mm

8M

6. A frustrum of a solid right circular cone has an axial hole of 0.5m diameter as shown in Fig.6. Determine the centre of gravity of the body.

Fig.6

15M

UNIT-IV

7. Find the moment of inertia of a hollow section shown in Fig.7. about an axis passing through its Centre of gravity and parallel X-X axis

Fig.7

15M

8. Determine the mass moment of inertia of a circular lamina of radius R. 15M

Cont…3

:: 3 ::

UNIT-V 9. a) Explain the application of the principle of virtual work on ladders. 5M

b) A simply supported beam AB of span 5m is located as shown in Fig.8. Using the principle of virtual work, fine the reactions at A and B.

Fig.8

10M

10. Beam AB of 2m length is held in equilibrium by the application of a force P as shown in Fig.9. Using the principle of virtual work, find the magnitude of the force P when a weight of 2kN is hung from the beam AB at its midpoint.

Fig.9

15M




ENGINEERING MECHANICS-II (Common to Mechanical Engineering & Civil Engineering)



Unit – I

1. a) Explain the terms: i. Translation ii. Rotation iii. Plane motion of rigid bodies

6M

b) A stone is dropped from the top of a tower 50m high. At the same time another stone is thrown up from the foot of the tower with a velocity of 25m/s. At what distance from the top and after how much time the two stones cross each other.

9M

2. a) Motion of a particle is given by the equation x= t3 – 3t2 – 9t +12. Determine the time, position and acceleration of the particle when its velocity becomes zero.

8M

b) A car is moving with a velocity of 72kmph. After seeing a child on the road the brakes are applied and the vehicle is stopped in a distance of 15 m. If the retardation produced is proportional to distance from the point where brakes are applied, find the expression for retardation.

7M

Unit – II

3. A train starts from rest and increases its speed from zero to v m/s with a constant acceleration of a1 m/s2, runs at this speed for some time and finally comes to rest with a constant deceleration a2 m/s2. If the total distance travelled is x meters, find the total time t required for journey.

15M

4. The motion of a particle is described by the following equation, x= 2(t+1)2 , y= 2(t+1)-2 show that the path travelled by the particle is a rectangular hyperbola. Find also, the velocity and the acceleration of the particle at t=0.

15M

Unit – III

5. a) Derive expression for work done by a spring. 6M b) A 3000N block starting from rest and slides down a inclined plane of 50o. After moving

2m distance it strikes a spring whose modulus is 20N/mm. If the coefficient of friction between the block and the inclined plane is 0.2, determine the maximum deformation of the spring and maximum velocity of block.

9M

6. a) State and prove work energy principle. 7M b) A roller of mass m=600kg and radius r= 0.25m is pushed with a constant force p= 850N

on a rough horizontal plane at an angle 30o. If the roller starts from rest and rolls without slipping, find the distance required to be rolled if it is to acquire a velocity of 3m/s.

8M

Unit – IV

7. a) A 1 N ball is bowled to a batsman. The velocity of ball was 20 m/sec horizontal just before batsman hit it. After hitting it went away with a velocity of 48 m/sec at an inclination of 30o to the horizontal, find the average force exerted on the ball by the bat if impact lasts for 0.02 sec.

8M

b) A man of 800 N, moving horizontal with a velocity of 3 m/s, jumps off the end of a pier into a 3200 N boat. Determine the horizontal velocity of the boat: i. If it had no initial velocity and ii. If it was approaching the pier with an initial velocity of 0.9m/s

7M

Cont…2

:: 2 ::

8. a) A hammer weighing 5 N is used to drive a nail of weight 0.2N with a velocity of 5m/s. Horizontal into a fixed wooden block. If the nail penetrates 20mm by blow, calculate the resistance of the block, which may be assumed uniform.

7M

b) A car weighing 50kN and moving at 54kmph along the main road collides with a lorry of weight 100kN which emerges at 18kmph from a cross road at right angles to main road. If the two vehicles lock after collision, what will be the magnitude and direction of the resulting velocity?

8M

Unit – V

9. a) Differentiate simple and compound pendulum and derive expression for simple pendulum.

6M

b) A particle performing S.H.M has a frequency of 10 oscillations per minute. At a distance of 8cm from the mean position its velocity is 3/5th of the maximum velocity. Find: i. The amplitude of oscillation ii. The maximum acceleration iii. The velocity of the particle when it is a distance of 5cm from mean position

9M

10. a) Define the terms: i. Time period ii. Frequency iii. Simple harmonic motion iv. Amplitude

8M

b) A particle is performing a S.H.M. When it is at distances of 10cm and 20cm from the mean position its velocities are 1.2m/s and 0.8m/s respectively. Find: i. The amplitude of oscillations ii. Time period of oscillations iii. Its maximum velocity iv. Its maximum acceleration

7M




ENGINEERING MECHANICS-II

(Common to Mechanical Engineering & Civil Engineering)



Unit – I

1. a) Distinguish between uniform rectilinear motion and uniformly accelerated rectilinear motion.

5M

b) A car starts from rest and accelerates uniformly to reach a maximum speed of 72kmph in 30 seconds. It then travels at this speed for 3 minutes and finally comes to rest in 45 seconds. Determine: i. Acceleration and deceleration of the car ii. Total distance travelled during this time iii. Average velocity in this time

10M

2. a) Show that the path traced by a projectile is a parabola. 6M b) A ball is thrown from ground with a velocity of 20m/s at an angle of 300 to

horizontal. Determine: i. Velocity of ball at t=0.5s and t=1.5s ii. Total time of flight iii. Range of ball iv. Maximum range

9M

Unit – II

3. A wheel, rotating about a fixed axis at 20rpm is uniformly accelerated for 70 seconds, during which time it makes 50 revolutions. Find: i. Angular velocity at the end of this interval ii. Time required for the speed to reach 100rpm

15M

4. a) State D’Alembert’s principle. 5M b) A stone is dropped from a height. After falling 5 seconds from rest, the stone

breaks the glass pane and in breaking, the stone loses 20% of its velocity. Find the distance travelled by the stone in the next second. Take g = 9.81m/s2.

10M

Unit – III

5. a) Obtain expression for work done by a force of varying magnitude but constant direction.

6M

b) A car of mass 2 ton starts from rest and accelerates at a uniform rate to reach a speed of 60Kmph in 20 seconds. If the frictional resistance is 600N/ton, determine the power of the engine when it reaches a speed of 60Kmph?

9M

6. a) State and prove Work–Energy principle. 5M b) A bullet of mass 20gm moving at a speed of 300m/s pierces a 3cm thick metal

plate and emerges out with a velocity of 200m/s. Determine the resistance offered by the plate assuming it to be uniform. Also determine the minimum number of such plates each of 3cm thick to stop the bullet.

10M

Cont…2

:: 2 ::

Unit – IV

7. a) Define the term coefficient of restitution. Sate the principle of conservation of linear momentum of a particle.

7M

b) A bullet of mass 50gm is fired into a freely suspended target to mass 5kg. On impact, the target moves with a velocity of 7m/s along with the bullet in the direction of firing. Find the velocity of bullet.

8M

8. a) Define the law of conservation of momentum and prove it. 6M b) Ball A of mass 1kg moving with a velocity of 2m/s, strikes directly on a ball B of

mass 2kg at rest. The ball A, after striking, comes to rest. Find the velocity of ball B after striking and coefficient of restitution.

9M

Unit – V

9. a) Explain how a compound pendulum differs from simple pendulum. Derive an expression for the time period of a simple pendulum.

7M

b) A pendulum having a time period of 1s is installed in a lift. Determine its time period when? i. Lift is moving upwards with an acceleration of g/10 ii. Lift is moving downwards with an acceleration of g/10

8M

10. a) Explain the terms: i. Simple harmonic motion ii. Amplitude iii. Frequency iv. Oscillation v. Period of simple harmonic motion

6M

b) A particle moving with SHM has velocities of 8m/s and 5m/s when at the distance of 1m and 2.2m from mean position. Determine: i. Amplitude ii. Period iii. Maximum velocity iv. Maximum acceleration

9M


(AUTONOMOUS) B. Tech II Semester Supplementary Examinations, December/January - 2017


COMPUTER PROGRAMMING

(Common to Mechanical Engineering, Aeronautical Engineering & Civil Engineering)



Unit – I

1. a) What is a flow chart? Draw the flowchart for finding sum of even and sum of odd numbers.

7M

b) If a five digit integer is input to the keyboard .write a C program without using any looping statements. That separate the number into its individual digits, print the digits from one another by three spaces each for example, if the user types 12345 the program should print 1 2 3 4 5 and calculate the sum of digits of a given number.

8M

2. a) Explain the formatted and unformatted I/O functions in C. 7M b) Write a C program to find the following expressions and print result values:

i. x=a-b/3+c*2-1 ii. y=a-b/ (3+c)*(2-1) iii. z=a-(b/ (3+c)*2)-1) Here a=9 b=12 c=3.

8M

Unit – II

3. a) Explain the following library functions: i. round(x) ii. ceil(x) iii. floor(x)

6M

b) Write a C program to find the given number is Armstrong number or not.

9M

4. a) Explain about different storage classes in c with examples. 7M b) Write a C program to read n values and to find largest and smallest of them by using

arrays.

8M

Unit – III

5. a) Differentiate between getchar(), getch() and getche() functions. 6M b) Write a program to read a string and print the number of characters and words in it.

9M

6. a) What is dynamic memory allocation? What are the functions used for it? Explain. 9M b) Write a program to find the reverse of a given string.

6M

Unit – IV

7. a) Define self referential structure. Explain with an example. 4M b) Write a program, using an array of structures, to read and display the data of N number

of students. The structure has Rollno, Name as its fields.

11M

8. a) Explain in detail about Bit fields. 8M b) Write a program to add two complex numbers using structure concept. 7M

Cont…2

::2::

Unit – V

9. a) Give the various modes of opening a file. 6M b) Write a C program to read name and marks of n number of students from user and store

them in a file. If the file previously exists, add the information of n students.

9M

10. a) Give the syntax and description of the following: i. fgets( ) ii. fgetc( ) iii. fputs( ) iv. fputc( )

8M

b) Write a program to copy the contents of one file into another using fgetc( ) and fputc( ) function.

7M




DATA STRUCTURES THROUGH C

(Common to Computer Science and Engineering, Information Technology, Electronics and Communication Engineering & Electrical and Electronics Engineering)



Unit – I

1. a) What is a Data Structure? Explain different types of Data Structure with suitable

examples. 6M

b) Explain Tower of Hanoi problem. Give an iterative solution to Hanoi Tower using

recursion.

9M

2. a) Compare linear search and binary search. 6M

b) Define algorithm. What is the difference between an algorithm and a program?

What are the measures to be considered while defining an algorithm?

9M

Unit – II

3. a) Write a function to implement quick sort. When does the quick sort behave the

worst? What is the worst case efficiency? 8M

b) What is a heap? Write a function to create a max Heap using the bottom up

technique. Create a max heap for the following set of elements using the bottom

up technique:

3, 5, 6, 7, 20, 8, 2 and 9.

7M

4. Describe the best and worst case complexities for the merge sort. Write the merge sort

algorithm and apply for the following sequence of inputs: 22, -5, 36, 78, -3, 11, 10

and 23.

15M

Unit – III

5. a) What are circular queues? Write down routines for inserting and deleting elements

from a circular queue implemented using arrays.

6M

b) Evaluate the following postfix notation of expression (Show status of stack after

execution of each operations): 5, 20, 15, -, *, 25, 2, *, +.

9M

6. a) What are stacks? How can stacks be used to check whether an expression is

correctly parenthized or not? 8M

b) What is a priority queue? Write an algorithm to sort with a priority queue.

7M

Unit – IV

7. a) Compare single, double and circular linked list in detail. 6M

b) Write a C program to Reverse a singly linked list.

9M

8. a) Write an algorithm that counts number of nodes in a linked list. 7M

b) Write a function in C language for the addition of two sparse matrices.

8M

Unit – V

9. a) Briefly explain Graph Traversal. 5M

b) Construct the binary tree given the following traversals

In-order: 1 2 3 4 5 6 7 8 9

Post-order: 1 3 5 4 2 8 7 9 6

10M

Cont…2

:: 2 ::

10. a) Explain Threaded binary trees. 5M

b) Give the adjacency matrix and adjacency list of the following graph.

Fig.1

10M




DATA STRUCTURES THROUGH C




Unit – I

1. a) What is a Data Structure? Explain different types of Data Structure with suitable examples.

6M

b) Explain Tower of Hanoi problem. Give an iterative solution to Hanoi Tower using recursion.

9M

2. a) Compare linear search and binary search. 6M b) Define algorithm. What is the difference between an algorithm and a program?

What are the measures to be considered while defining an algorithm?

9M

Unit – II

3. a) Write a function to implement quick sort. When does the quick sort behave the worst? What is the worst case efficiency?

8M

b) What is a heap? Write a function to create a max Heap using the bottom up technique. Create a max heap for the following set of elements using the bottom up technique: 3, 5, 6, 7, 20, 8, 2 and 9.

7M

4. Describe the best and worst case complexities for the merge sort. Write the merge sort algorithm and apply for the following sequence of inputs: 22, -5, 36, 78, -3, 11, 10 and 23.

15M

Unit – III

5. a) What are circular queues? Write down routines for inserting and deleting elements from a circular queue implemented using arrays.

6M

b) Evaluate the following postfix notation of expression (Show status of stack after execution of each operations): 5, 20, 15, -, *, 25, 2, *, +.

9M

6. a) What are stacks? How can stacks be used to check whether an expression is correctly parenthized or not?

8M

b) What is a priority queue? Write an algorithm to sort with a priority queue.

7M

Unit – IV

7. a) Compare single, double and circular linked list in detail. 6M b) Write a C program to Reverse a singly linked list.

9M

8. a) Write an algorithm that counts number of nodes in a linked list. 7M b) Write a function in C language for the addition of two sparse matrices.

8M

Unit – V

9. a) Briefly explain Graph Traversal. 5M b) Construct the binary tree given the following traversals

In-order: 1 2 3 4 5 6 7 8 9 Post-order: 1 3 5 4 2 8 7 9 6

10M

Cont…2

:: 2 ::

10. a) Explain Threaded binary trees. 5M b) Give the adjacency matrix and adjacency list of the following graph.

Fig.1

10M


(AUTONOMOUS) B. Tech II Semester Supplementary Examinations, December/January - 2017


DATA STRUCTURES




Unit – I

1. a) Define Data structures. Write about the classification of Data structures. 5M b) Write the C-Program for Tower of Hanoi problem using Recursion. Also trace the

program for 3 Disks.

10M

2. a) Explain the Worst-case, Average-case and Best-case time complexity of an algorithm.

8M

b) Write the C-Program to search an element in an array using Linear Search technique.

7M

Unit – II

3. a) Explain Quick Sort technique by sorting the following sequence in ascending order. (27,10,36,18,25,45).

8M

b) Write a C- program to sort an array using Selection Sort algorithm.

7M

4. a) Write a C-Program to sort the elements in a array using Bubble Sort. Discuss the complexity of Bubble Sort.

7M

b) Write the algorithm for Merge Sort. Using Merge sort technique sort the following in ascending order. (60,50,25,10,35,25,75,30).

8M

Unit – III

5. a) The following sequence of operations is performed on a stack: PUSH A, PUSH B, PUSH C, POP, PUSH D, POP, POP, PUSH E. What is the sequence of Popped items?

5M

b) Write a function in C to implement the operation of Double Ended Queue.

10M

6. a) Explain the application of Queues. 5M b) Convert the following infix expression to equivalent postfix expression:

i. A $ B $ C – M + N + P / Q ii. ((A + B) * H - (D – E)) $ (F + G)

10M

Unit – IV

7. a) If a given Singly Linked List contains 10 nodes. Write a function to delete the alternate nodes (2, 4, 6, 8, 10).

8M

b) Differentiate between Static allocation and Linked list allocation technique.

7M

8. a) Write a complete C-program to implement Circular Singly Linked List. Which should support following operations: i. Insert front/rear ii. Delete front/rear iii. Display

10M

b) Write a C-Function on Singly Linked List to Concatenate two lists 5M

Cont…2

::2::

Unit – V

9. a) Write the C-function for Pre-order, In-order and Post-order traversal for the tree. 8M b) Write the algorithm for Depth-first search with an example.

7M

10. a) Define Binary Tree and Binary Search Tree with example. 7M b) Construct a binary tree given the following:

i. Preorder: P G E B K W T Y Inorder: B E G K P T W Y ii. Postorder: F H L N R U S Q Inorder: F H L N Q R S U

8M

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