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Question 1.

Identify the alkane that has the lower carbon-carbon bond dissociation energy.

[A] Ethane[B] Propane[C] 2-Methyl propane[D] 2, 2-Dimethyl propane

Question 2.Which of the following four isomeric alkenes is most stable?

[A] 1-Hexene[B] 2-Hexene[C] 2-Methylpent-2-ene[D] 2, 3-Dimethyl-but-2-ene

Question 3.

An optically active unsaturated hydroc arbon that yield, optically inactive saturated hydroc arbon on catalytic hydrogenation is

[A] only (I)[B] (I), (II)[C] (I), (III)[D] (II), (III)

Question 4.

Which of the following metal carbide on hydrolysis gives simplest saturated hydrocarbon?

[A]

[B]

[C]

[D] None

Question 5.

Sodium salts of carboxylic acids on heating with sodalime give alkanes. Sodium salt of which acid will be needed for the preparation ofpropane?

[A] Propanoic acid[B] Butanoic acid[C] Propenoic acid[D] 2-Methyl propanoic acid

Question 6.

Which of the following has lowest boiling point?

[A] Butane[B] 2-Methyl propane[C] 2-Methyl butane[D] 2, 2-Dimethyl propane

Question 7.

Which of the following reaction cannot be used for preparation of methane [R=Methyl]

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[A] only I[B] I, III[C] I, III, IV[D] II, III, IV

Question 8.

Halogenation of alkane is proceed via

[A] Electrophilic substitution mechanism[B] Free radical addition mechanism[C] Electrophilic addition mechanism[D] Free radical substitution mechanism

Question 9.

Which of the following reaction(s) results in formation of benzene?

[A] only I[B] I, II, IV[C] I, II, III, IV[D] I, III

Question 10.

Which of the following alkane on monochlorination gives only two monochloro derivatives?

(I) (II)

(III) (IV)

[A] only (I)[B] (I), (II), (IV)[C] (II), (IV)[D] (III), (IV)

Question 11.

Identify the major product Mformed in the given reaction

[A]

[B]

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[C]

[D]

Question 12.

In which of the following reaction only cis-isomer of the product 2-Butene is formed.

[A]

[B]

[C]

[D]

Question 13.

Which of the following reagent can be used to distinguish product N and Pof the following reaction?

[A]

[B] cold dil, alk.

[C] both (A) & (B)

[D]

Question 14.

Which of the following reaction(s) results in formation of acetaldehyde ?

(I)

(II)

(III)

(IV)

[A] only IV[B] II, IV[C] I, III, IV[D] I, III

Question 15.

Which of the following compound gives 2-ketopropanal and formaldehyde as only products on reductive ozonolysis?

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[A]

[B]

[C]

[D]

Question 16.

For electrophilic substitution reaction of chlorobenzene, chlorine atom acts as

[A] activating and o,p-directing[B] activating and m-directing[C] deactivating and m-directing[D] de-activating and o,p-directing

Question 17.

Identify end product R in following sequence of reactions

[A]

[B]

[C]

[D]

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Question 18.

Out of benzene, m-dinitro benzene, toluene and phenol which will undergo nitration most easily?

[A] benzene[B] m-dinitrobenzene[C] toluene[D] phenol

Question 19.

An alkene 'A' on ozonolysis gives a mixtur e of ethanal and pentan-3-one. Addition of HBr to alkene 'A' in the pres ence of benz yol peroxide

yields[A] 3-Bromo-2-ethyl pentane[B] 2-Bromo-3-ethyl pentane[C] 3-Bromo-3-ethyl pentane[D] 2-Bromo-2-ethyl pentane

Question 20.

Selenium is a semiconductor used in photocopying machines. What type of semiconductor would be formed if a small amount ofindium(In) impurity were added to pure selenium(Se)?

[A] substitutional type[B] p-type[C] n-type[D] None of these

Question 21.

Which of the following is NOT a molecular solid?

[A] Silica

[B] Fullerene

[C] Sulphur

[D] Solid HI

Question 22.

Which of the following is correct set of effective number of constituents and number of nearest neighbours for simple cubic(SC), bodycentered cubic (BCC) and face centered cubic (fcc) unit cell respectively

[A]SC BCC FCC

8, 6 9, 8 14, 12[B] 1, 6 2, 8 6, 6[C] 1, 4 2, 8 4, 12[D] 1, 6 2, 8 4, 12

Question 23.

Which of the following is correct pair of ionic solid and number of formula units per unit cell?

(I) Rock salt : Six formula units

(II) Zinc blende : Four formula units

(III) Cesium halide : Two formula units

[A] only (II)[B] (II) and (III)[C] (I) and (II)[D] (I), (II) and (III)

Question 24.

Which of the following statement(s) is/are NOT correct for cubic closest packing of spheres of identical size?

(I) It is ABCABCABC.........type of 2-D closest packing

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(II) It is ABABAB ....... type of 3-D closes t packing

(III) Void fraction in this packing is 0.26

(IV) In this packing co-ordination number is 12

(V) There are twice as many tetrahedral holes as there are packed spheres in the closest pack ed structure.

[A] (II), (V)[B] (I) and (V)[C] (I) and (II)[D] (III), (IV) and (V)

Question 25.

Cobalt fluoride crystallizes in a closest packed array of fluoride ions, with the cobalt ions filling one-half of the octahedral holes. What isthe formula of this compound?

[A]

[B]

[C]

[D]

Question 26.

Tetragonal crystal system has the following unit cell dimensions.

[A]

[B]

[C]

[D]

Question 27.

The number of atoms in 100 g of an FCC crystal with density d = 10 g cm -3and cell edge as 200 pm is equal to

[A]

[B]

[C]

[D]

Question 28.

What type of solid is generally characterized by having low melting point and low electrical conductivity?

[A] ionic[B] metallic[C] molecular[D] network covalent

Question 29.

Which of the following has lowest enthalpy change of hydrogenation?

[A]

[B]

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[C]

[D]

Question 30.What is the volume of unit cell in ABAB.......type of 3-D closest packing?

[A]

[B]

[C]

[D]

Question 31.

Consider the following circuit. The curr ent through the resistor is :

[A] 1A[B] 1.5A[C] 0.5A[D] 2.5A

Question 32.

A 40Wand a 60Wbulbs give a total power of 80Wwhen connected in parallel across a source. When connected in series with the samesource, the total power will be :

[A] 19.2 W[B] 24 W[C] 30 W[D] 25.6 W

Question 33.

A uniform solid c ylinder of base area 'A' is placed with its axis alongxaxis and one of the bases at the origin. The resistively of the

material changes acc ording to the relation . (L= length of cy linder, is a positive constant) Resistance of the solid

cylinder, across its ends is :

[A]

[B]

[C]

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[D]

Question 34.

A dipole is placed in an electr ic field whose direction is fixed but whose magnitude v aries with distance. Which is not possible that thedipole experiences.

[A] No net force and no torque[B] A net force but no torque

[C] A net force and a torque[D] No net force but a torque

Question 35.

The resistance of the all the wires between any two adjacent dots is R.

Then equivalent resistance betweenAand Bas shown in figure is:

[A] 7/3 R[B] 7/6 R[C] 14/8 R[D] None of these

Question 36.

In the circuit shown, what is the potential difference ?

[A] + 3V[B] + 2V

[C]

[D] None of these

Question 37.

Two bulbs rated are connected in series to a 440 Vline. Which one is likely to fuse?

[A] 25 Wbulb[B] 100 Wbulb[C] both bulbs[D] None of these

Question 38.

In the given potentiometer circuit length of the wire AB is 3mand its resistanc e is . The lengthACfor no deflection in

galvanometer is :

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[A] 2 m[B] 1.8 m

[C] dependent or r1

[D] None of these

Question 39.

Find reading of ammetersA1 andA2for the circuit shown assuming them to be ideal.

[A] 1A, 1A[B] 1A, Zero[C] Zero, 1A[D] Zero, zero

Question 40.

In the circuit shown the curr ents in resistance are :

[A]

[B]

[C]

[D]

Question 41.

An ammeter and a voltmeter ar e c onnected in series to a battery with emf E= 6 volt and negligible resistance. When a resistance

is connected in parallel to voltmeter, reading of ammeter increases three times while that of voltmeter reduces to one third.

The resistance of ammeter is :

[A]

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[B]

[C]

[D]

Question 42.

An ammeter and a voltmeter ar e c onnected in series to a battery with emf E= 6 volt and negligible resistance. When a resistance

is connected in parallel to voltmeter, reading of ammeter increases three times while that of voltmeter reduces to one third.

The resistance of voltmeter is :

[A]

[B]

[C]

[D]

Question 43.

Twelve wires, each having equal resistance r, are joined to form a cube as shown in the figure. Find the equivalent resistance between

the diagonally opposite points a and f.

[A]

[B]

[C]

[D] None of these

Question 44.

Each resistor shown in figure of an infinite network of resistance . The effective resistance in between Aand Bis:

[A]

[B]

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[C]

[D]

Question 45.

The emfof a cell is found to be 6Vwhen measured by potentiometer. Now a resistanc e of is connected acros s its terminal and

potential difference across its terminals is found to be 5Vby the same potentiometer and 4.8 Vby a voltmeter.

The internal resistance of the cell is :

[A]

[B]

[C]

[D]

Question 46.

The emfof a cell is found to be 6Vwhen measured by potentiometer. Now a resistanc e of is connected acros s its terminal and

potential difference across its terminals is found to be 5Vby the same potentiometer and 4.8 Vby a voltmeter.

The resistance of the voltmeter is :

[A]

[B]

[C]

[D]

Question 47.

Three large parallel conducting platesA, Band Ceach of area S are given charges Q,2Qand respectively. The distance

betweenAand Bis d and between B and C is 2d. ( d is very small as compared to the dimensions of plates). IfA and Care connected bya conducting wire, Then :

[A] charge will flow fromAto C

[B] charge Q/2 will flow fromA to C[C] charge 3Q/4 will flow from C toA[D] charge Q/2 will flow from C toA

Question 48.

A s hort electric dipole of moment magnitudep is along the axis of a ring of radius Rat a distancex from its centre. The ring has total

charge Qdistributed uniformly over its circumference. Find the work done by external agent to rotate the dipole by .

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[A]

[B]

[C]

[D]

Question 49.

In a region an electric field E= 15N/Cmaking an angle of with the horizontal plane is present. A ball of charge 2C, mass 3kg is

projected at an angle of with horizontal in the direction of electric field with speed 20 m/s. Find the horizontal range of the ball on

the horizontal plane.

[A] 100 m

[B]

[C] 80 m

[D]

Question 50.

The equivalent resistance between pointAand Bis :

[A]

[B]

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[C]

[D] None of these

Question 51.

In the circuit shown in figure when switch S1 is closed and S2is open, the ideal voltmeter shows a reading 18 V. When switch S2 is

closed and S1is open, the reading of the voltmeter is 24 V. When S1and S2both are closed the voltmeter reading will be :

[A] 14.4 V[B] 20.6 V[C] 24.2 V[D] 10.8 V

Question 52.

A point c harge q is placed at origin. Let be the electric field at three points

due to charge q. Then :

I. II. III. IV.

The correct choice is :

[A] I and II[B] I, II, IV[C] I and III[D] II, IV

Question 53.

The electric field in a region is given by forx> 0 and forx< 0. A closed cylinder of length 2mand

cros s - section area is kept in suc h a way that the axis of cy linder is alongX-axis and its centre coincides with origin. The

total charge inside the cy linder is [Take ]

[A] Zero

[B]

[C]

[D]

Question 54.A particle of c harge and mass mmoves in a circular orbit of radius rabout a fixed charge +Q. The relation between the radius of

the orbit r and the time period T is :

[A]

[B]

[C]

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[D]

Question 55.

Two small ballsAand Bof positive charge Qeach and masses mand 2m respectively are connected by a non-conducting light rod oflength L. This system is released in a uniform electric field of strength E as shown. Just after the release (assume no other force acts onthe system):

[A] rod has zero angular acceleration

[B] rod has angular acc eleration in anticlockwise direction

[C] acceleration of point A is towards right

[D] acceleration of point A is towards right

Question 56.

In the given network, with equivalent betweenA and B is :

[A]

[B]

[C]

[D]

Question 57.

In the shown circuit, the reading of the voltmeter is V1when only S1 is closed, reading of voltmeter is V2when only S2 is closed and its

reading is V3when both S1 and S2are closed. Then :

[A] V3> V2> V1[B] V2> V1> V3[C] V1> V2> V3

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[D] V1> V2= V3

Question 58.

The resistor in which maximum heat will be produced is :

[A]

[B]

[C]

[D]

Question 59.

Current density in a cy lindrical wire of radius R is given as , The curr ent flowing in the wire is : (x

is distance from axis)

[A]

[B]

[C]

[D]

Question 60.

All the res istances are equal to R in the given circuit. Equivalent resistance betweenA and B is :

[A] 5R/22[B] 11R/20[C] 3R/14[D] 6R/21

Question 61.

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Let . Then, for what value of is ?

[A]

[B]

[C] 1

[D]

Question 62.

Part of the domain of the function lying in the interval is :

[A]

[B]

[C]

[D] None of these

Question 63.

A function f : satisfies the equation for all and , then:

[A]

[B]

[C]

[D]

Question 64.

is :

[A]

[B]

[C]

[D]

Question 65.

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If where [x] denotes the greatest integer , then equals :

[A] 1[B] 0

[C]

[D] None of these

Question 66.

Let . Then is :

[A] 1[B] 2[C] 0[D] Limit does not exist

Question 67.

If , then the value of ais :

[A] 1[B] 0[C] e[D] None of these

Question 68.

Let and . The value of and so that f is a continuous function are

:

[A]

[B]

[C]

[D] None of these

Question 69.

The function where [x] is the greatest integer function is continuous atx= 1 if :

[A]

[B]

[C]

[D]

Question 70.

If and then is :

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[A]

[B]

[C]

[D]

Question 71.

Let for allx and y. If and then is equal to :

[A] 5[B] 8[C] 6[D] None of these

Question 72.

If , then the value of at is :

[A] 2

[B]

[C]

[D]

Question 73.

Let , then all the points where f(x) is not differentiable is(are) :

[A] 1[B] 1, 2

[C]

[D] 0, 1, 2

Question 74.

If and if f(x) is differentiable atx= 0, then :

[A] is any real number

[B] is any real number

[C] is any real number

[D] is any real number

Question 75.

If then is equal to :

[A]

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[B]

[C]

[D] None of these

Question 76.

A s pherical balloon is expanding. If the r adius is increasing at the rate of 5 inch per minute, the r ate at which the v olume increases (incubic inches per minute) when the radius is 10 inch is :

[A][B]

[C]

[D]

Question 77.

If , then y:

[A] decreases on

[B] decreases on

[C] increases on

[D] neither decreases nor increases on

Question 78.

The minimum value of is :

[A] 0[B] 7[C] 8[D] 10

Question 79.

The function has :

[A] local extremum atx= 1[B] point of inflection atx= 1[C] local extremum atx= 2[D] point of inflection atx= 2

Question 80.

The total number of local maxima and local minima of the function

[A] 0[B] 1[C] 2[D] 3

Question 81.

The coordinates of the point on the parabola , which is at minimum distance from the circle are :

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[A]

[B]

[C] (2, 4)[D] None of these

Question 82.

A c urve passes through the point (2, 0) and the slope of the tangent at any point (x, y) is for all value ofx. The point of

maximum ordinate on the curve is :

[A]

[B]

[C]

[D]

Question 83.

If the tangent to the curv e at the point (a, a) cuts off intercepts and on the coordinate axes, where

then the value of is :

[A] 16[B] 28[C] 30[D] 31

Question 84.

If decreases for allxif :

[A]

[B]

[C]

[D]

Question 85.

For a > 0, the value of a for which the equation posses a single root is :

[A]

[B]

[C]

[D]

Question 86.

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If f and gare defined on by and . Then :

[A] g has local maximum atx= 1[B] g has local minimum atx= 1

[C] g is an increas ing function on

[D] g is a decreasing function on

Question 87.

The value of a for which both the extremum of the function lie in the interval lie in

:

[A]

[B]

[C]

[D]

Question 88.

Let and satisfies the equation for all and

then :

[A] g increases on and decreases on

[B] g increases on

[C] g dec reas es on and inc reas es

[D] g decreases on

Question 89.

If , then (where [.] denotes the greatest integer function)

[A]

[B]

[C] Does not exist[D] None of these

Question 90.

Let g : be a differentiable function such that and .

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Then is equal to :

[A]

[B]

[C]

[D]