Vmc Advance 1 Paper 2

7/25/2019 Vmc Advance 1 Paper 2

1/21

Question 1.

Which of the following property tend to increase with increase in charge density of ion?

I. Lattice energyII. Polarising power of cationIII. Increase in covalent character in ionic compoundThe correct option is :

[A] I[B] I, II

[C] I, III[D] I, II, III

Question 2.

If the enthalpy change for the reaction

Given that bond energy of C - H bond is 20 kcal mol -1greater than that of bond energy of C - Cl bond whereas bond energies of H - Hand H - Cl bond is nearly same. What would be the enthalpy change for following reaction using above information?

[A] -22.5 kc al/mol[B] - 20.5 kc al/mol[C] -32.5 kc al/mol[D] -12.5 kc al/mol

Question 3.

1 mole each of three different gases 'A', 'B' and 'C' having Vander Waal's constant 'a' (in atmL 2mol-2) as 1.5, 3.2 and 2.7 respectively areseparately present in three identical vessel at same temperature. What would be correctly said regarding their pressur e in the giventhree vessels while ignoring the effect of b?

[A] PA= PB= PC

[B] PB> PC> PA

[C] PB< PC< PA

[D] PA< PB< PC

Question 4.

For the following change :

If 6g each of diamond and graphite are separately burnt in excess of O 2(g) then heat liberated in case of diamond is

[A] Less than the cas e of graphite by 1.8 kJ[B] Greater than the case of graphite by 0.9 kJ[C] Less than the cas e of graphite by 0.9 kJ[D] Greater than the case of graphite by 1.8 kJ

Question 5.

Let be the frequency of the series limit of the Lyman series, be the frequency of the first line of the Lyman series, and

be the frequency of the series limit of the Balmer series. Which of the following relation is correct w.r.t. hydrogen atom?

[A]

[B]

[C]

[D]


2/21

Question 6.

The hybridisation of carbon atoms in the following compound from left to right is :

[A] sp2, sp3, sp2, s p2, s p

[B] sp2, sp2, sp2, s p2, s p

[C] sp, sp2, s p2, sp2, sp2

[D] sp3, sp2, sp2, s p2, s p

Question 7.

Statement : 1 Sulphur atom has higher electron affinity than oxygenStatement : 2 Oxygen is more electronegative than sulphur

[A] Statement-1 is True, Statement-2 is True and Statement-2 is a corr ect explanation for Statement-1[B] Statement-1 is True, Statement-2 is True and Statement-2 is NOT a correc t explanation for Statement-1[C] Statement-1 is True, Statement-2 is False[D] Statement-1 is False, Statement-2 is True

Question 8.

Which of the following is(are) in the correct order of increasing ionic radii?

I.

II.

III.

The correct option is :

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

Question 9.

Phosphine reacts with hydrogen iodide to form phosphonium iodide in the reaction shown :

Given that , and , what is the standard enthalpy change

of formation of phosphonium iodide ?

[A]

[B]

[C]

[D]

Question 10.

When water is stirred with glucose, strong hydrogen bonds are initially formed between glucose molecules and water molecules, but asmore water is added, these hydrogen bonds are broken. Which graph best represents the observed temperature changes ?


3/21

[A]

[B]

[C]

[D]

Question 11.

In one analysis, a 20 mL portion of a sample of H 2O2was analyzed by titrating it with acidified KMnO4solution. 40 mL of permanganate

solution was required to oxidize the H2O2completely. Also, 12 mL of the same permanganate solution required 9.0 mL of a 1.0 M oxalic

acid solution to reach the equivalence point.

What are the oxidation states of oxygen of H2O2 in the final products as it reacts with KClO3and As2O3, res pectively?

[A]

[B] 0, 0

[C] 0,

[D] 0,

Question 12.

In one analysis, a 20 mL portion of a sample of H 2O2was analyzed by titrating it with acidified KMnO4solution. 40 mL of permanganate

solution was required to oxidize the H2O2completely. Also, 12 mL of the same permanganate solution required 9.0 mL of a 1.0 M oxalic

acid solution to reach the equivalence point.

If to a 30 mL sample of the above H 2O2solution, 20 mL of a 2.0 M H2O2is further added, volume strength of the resulting solution would

be changed to :

[A] 9.5[B] 12.75


4/21

[C] 19.04[D] 22.6

Question 13.

Consider the adjacent diagram. Initially, flask A contained oxygen gas at 27 oC and 950 mm of Hg, and flask B contained neon gas at

27oC and 900 mm. Finally, two flasks were joined by means of a narrow tube of negligible volume equipped with a stopcock and gaseswere allowed to mix up freely. The final pressure in the combined system was found to be 910 mm of Hg.

What is the correct relationship between volumes of the two flasks ?

[A] VB= 3VA

[B] VB= 4VA[C] VB= 5VA

[D] VB= 4.5VA

Question 14.

Consider the adjacent diagram. Initially, flask A contained oxygen gas at 27 oC and 950 mm of Hg, and flask B contained neon gas at

27oC and 900 mm. Finally, two flasks were joined by means of a narrow tube of negligible volume equipped with a stopcock and gaseswere allowed to mix up freely. The final pressure in the combined system was found to be 910 mm of Hg.

Which of the following statement concerning oxygen and neon gas is true in the beginning, when the stopcock was just opened ?

[A] O2 moved at faster rate towards flask B

[B] Ne moved at faster rate towards flask A[C] Both O2and Ne gases moved at equal rate

[D] Insufficient information to compare the rate of effusion

Question 15.

An orbital is basically designated by three quantum numbers n, and as defined below :

I. Principal Quantum Number (n) : It determines the size and energy of the orbital.

II. Azimuthal Quantum Number ( ) : It is used to define the shape of an orbital and represents a sub-shell.

III. Magnetic Quantum Number ( ) : It gives information about the orientation of an orbital with respect to coordinate axis.

Using the quantum numbers, various concepts such as electronic configuration of elements, magnetic properties such as spin-only

magnetic moment can be calculated.

In the ground state, spin-only magnetic moment of Mn+2will be : [Atomic Number : Mn = 25]

[A]

[B]

[C]

[D] 0

Question 16.


5/21

An orbital is basically designated by three quantum numbers n, and as defined below :

I. Principal Quantum Number (n) : It determines the size and energy of the orbital.

II. Azimuthal Quantum Number ( ) : It is used to define the shape of an orbital and represents a sub-shell.

III. Magnetic Quantum Number ( ) : It gives information about the orientation of an orbital with respect to coordinate axis.

Using the quantum numbers, various concepts such as electronic configuration of elements, magnetic properties such as spin-onlymagnetic moment can be calculated.

Of the following sets of quantum numbers, which are not allowed for an electron in an atom?

I.

II.

III.

IV.

V.

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

Question 17.

MATCH THE FOLLOWING LISTS :[Molecular mass of SF6= 146, XeF4=207]

[A]

[B]

[C]

[D]

Question 18.

MATCH THE FOLLOWING LISTS :


6/21

[A]

[B]

[C]

[D]

Question 19.


[A]

[B]

[C]

[D]

Question 20.



7/21

[A]

[B]

[C]

[D]

Question 21.

Two blocks A and B each of mass 1 kgare connected by a string and placed on a fixed wedge as shown in figure.The angle made by the line AB with the horizontal in equilibrium. (Assuming no friction) is :

[A] 0

[B] 15o

[C] 30o

[D]

Question 22.

A particle is projected fr om the horizontal s urface in earth's gravitational field at an angle with the horizontal then :

[A] Centre of curv ature of projectile's trajectory at the highest point is below the horizontal surface if

[B] Centre of curv ature of projectile's trajectory at the highest point is above the horizontal surfac e if

[C] Centre of curv ature of projectile's trajectory at the highest point is below the horizontal surface if

[D] Irrespective of the value of center of curv ature always lie below the horizontal surfac e

Question 23.

In the figure shown mass of A and B is equal to M each. Friction between B and lowermost surface is negligible. Initially both the blocksare at rest. The dimensions of block A are very small. A constant force F is applied on the block B and both the blocks starts moving


8/21

together without any relative motion. Suddenly the block B encounters a fixed obstacle and comes to rest. The block A continues to slideon block B. The block A just manages to reach the opposite end of block B. What is the coefficient of friction between the two blocks

[A] F/Mg[B] 2F/Mg[C] F/2Mg[D] None of these

Question 24.

In the adjacent figure all the pulleys and strings are frictionless and massless. The relation between is : (The direction

as shown in figure)

[A]

[B]

[C]

[D] None of these

Question 25.

A particle of mas s m is subjected to a force . If initially (t= 0) the particle was at rest, the kinetic energy

of the particle as a function of time is given by:

[A]

[B]

[C]

[D]

Question 26.

A bullet of mass mmoving horizontally hits the hanging block inelastically with a velocity vand sticks to it. The change in tension in thestring just before and after the collision is :


9/21

[A]

[B]

[C]

[D]

Question 27.

Potential energy function describing the interaction between two atoms of a diatomic molecule is :

Force between them will be zero when the distance between them would be :

[A]

[B]

[C]

[D]

Question 28.

In the diagram shown in figure wedge of mass M is stationary. Block of mass m= 2 kgis slipping down. Force of friction on the wedge

from ground is : (g= 10m/s2)

[A]

[B] 10N[C] 50N


10/21

[D]

Question 29.

Consider the system shown in figure. The wall is smooth, but the surfaces of blocks A and B in contact are rough. The friction on B dueto A in equilibrium is :

[A] Upward[B] Downward[C] Zero[D] The system cannot remain in equilibrium

Question 30.

A particle is moving in a c ircle of radius 'R'with resistive tangential acc eleration . Where is a constant and s is the

distance covered. If it starts with the speed V0what will be the number of revolution before coming to rest?

[A]

[B]

[C]

[D]

Question 31.

Two particles A andBare projected with equal speed v0as shown in the figure. If t1 and t2are the time of flights, and V1and V2are the

speeds of A and B respectively with which particles hit the incline, which of the following is wrong?

[A] t1= t2

[B] R2>R1

[C] h1>h2[D] v1


11/21

the acceleration of the block at t = 4s mass of block = 10 kg)

[A] Block is at rest

[B] 0.2m/s2

[C] 1.2m/s2

[D] Block is moving but acceleration is zero.

Question 33.

When a particle is projected at some angle with the horizontal, the path of the particle is parabolic. In the process the horizontal velocityremains constant but the magnitude of vertical velocity changes. At any instant during flight the acceleration of the particle remains g in

vertically downward direction. During flight at any point the path of particle can be considered as a part of circle and radius of that circle iscalled the radius of curvature of the path

Consider that a particle is projected with velocity u= 10m/sat an angle with the horizontal and take value of g= 10m/s2.

Now answer the following questions

The radius of curvature of path of particle at the instant when the velocity vector of the particle becomes perpendicular to initial velocityvector is :

[A]

[B]

[C]

[D]

Question 34.

When a particle is projected at some angle with the horizontal, the path of the particle is parabolic. In the process the horizontal velocityremains constant but the magnitude of vertical velocity changes. At any instant during flight the acceleration of the particle remains g invertically downward direction. During flight at any point the path of particle can be considered as a part of circle and radius of that circle iscalled the radius of curvature of the path

Consider that a particle is projected with velocity u= 10m/sat an angle with the horizontal and take value of g= 10m/s2.

Now answer the following questions

Tangential acceleration of particle at that instant is :

[A] 10m/s2

[B] 20m/s2

[C] 5m/s2

[D] m/s2

Question 35.

A pendulum bob has mass m. The length of pendulum is . It is initially at rest. A particle P of mass m/2 moving horizontally along -ve

x-direction with velocity collides with the bob and comes to rest. When the bob comes to rest momentarity, another particle Q

of mass m moving horizontally along z-direction collies with the bob and sticks to it. It is observed that the bob now moves along a

horizontal circle. The floor is a horizontal surfac e at a distance below the point of sus pension of the pendulum.


12/21

Tension is string immediately after the first collision is :

[A]

[B] mg

[C]

[D]

Question 36.A pendulum bob has mass m. The length of pendulum is . It is initially at rest. A particle P of mass m/2 moving horizontally along -ve

x-direction with velocity collides with the bob and comes to rest. When the bob comes to rest momentarity, another particle Q

of mass m moving horizontally along z-direction collies with the bob and sticks to it. It is observed that the bob now moves along ahorizontal circle. The floor is a horizontal surfac e at a distance below the point of sus pension of the pendulum.

The height of circular path above the floor is :

[A]

[B]

[C]

[D] data not sufficient

Question 37.

A particle of mas s mmoving in a circular path of radius rsuch that its centripetal acceleration ac is varying with time tas ,

when k is a constant


13/21

[A]

[B]

[C]

[D]

Question 38.The velocity time graph for a particle moving along a straight line is given in each situation of List 1. In the time interval ,

match the graph in List 1 with corresponding statements in List 2.


14/21

[A]

[B]

[C]

[D]

Question 39.

Assume the floor is smooth. Then matc h the following lists :

[A]

[B]

[C]

[D]

Question 40.

A bob of mass 2 kg is suspended from a vehicle by a rope of length l= 5 m. The vehicle and the bob are moving at a constant speed v0.

The vehicle is suddenly stopped by a bumper and the bob on the rope swings out a maximum angle of 60o. Match the following.


15/21

[A]

[B]

[C]

[D]

Question 41.

A point P lies inside the circle and . The pointP moves such that its path

encloses the greatest possible area and it is always at a fixed distance from the point in its region. The locus of Pis :

[A]

[B]

[C]

[D]

Question 42.

The solution set of is :

[A]

[B]

[C]

[D]

Question 43.

Given the sy stem of straight lines , then line of the sy stem situated farthest from the point (

) has the equation :

[A]

[B]

[C]

[D]


16/21

Question 44.

A point Pis selected inside an equilateral triangle. If sum of lengths of perpendiculars dropped on to three sides from P is 10, then thelength of attitude of triangle is :

[A] 5

[B]

[C]

[D] 10

Question 45.

The complete set of value of m for which the inequality is satisfied is

[A] m= 0

[B]

[C]

[D]

Question 46.

If are the roots of the quadratic equation then the value of

is equal to :

[A] 3[B] 5[C] 7[D] 11

Question 47.

The largest number among the four numbers is :

[A] a[B] b[C] c[D] d

Question 48.

A c ircle of r adius 3 units is drawn with centre as (8, 7) and another circle is drawn taking the line segment joining

as diameter. The number of common tangents that can be drawn to these two circles is :

[A] 1[B] 2

[C] 3[D] 4

Question 49.

The number of integral values of k for which exactly three roots of the equation

are real, is equal to :

[A] 0[B] 3[C] 4[D] 2


17/21

Question 50.

If then the range of the expres sion is :

[A]

[B]

[C]

[D]

Question 51.

A ball moving around the c ircle in clockwise direction leaves it tangentially at the point .

After getting r eflected fr om a straight line L= 0, it passes through the centre of the circle.

The perpendicular distance of this straight line L= 0 from the point P is 5 units. You can assume that the angle of incidence is equal to theangle of reflection

The equation of tangent to the circle at Pis :

[A]

[B]

[C]

[D]

Question 52.

A ball moving around the c ircle in clockwise direction leaves it tangentially at the point .

After getting r eflected fr om a straight line L= 0, it passes through the centre of the circle.

The perpendicular distance of this straight line L= 0 from the point P is 5 units. You can assume that the angle of incidence is equal to theangle of reflection

If angle between the tangent at P and the line through Pperpendicular to the line L= 0 is , then is :

[A]

[B]

[C]

[D]

Question 53.

Let f(x) = be a function defined on then :


18/21

Range of f (x) is :

[A]

[B]

[C]

[D] R

Question 54.

Let f(x) = be a function defined on then :

Range of the values of k for which f (x) = k has exactly two distinct solutions is :

[A]

[B]

[C]

[D]

Question 55.

The equation has four distinct real roots x1, x2, x3, x4such thatx1


19/21

Question 57.


[A]

[B]

[C]

[D]

Question 58.

The set of value(s) of for which


20/21

[A]

[B]

[C]

[D]

Question 59.


[A]

[B]

[C]

[D]

Question 60.



21/21

[A]

[B]

[C]

[D]

Vmc Advance 1 Paper 2

Documents

Transcript of Vmc Advance 1 Paper 2