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1. Two holes of unequal diameters *d1* and *d2* (*d1* > *d2*) are cut in a metal sheet. If the sheet is heated,

Correct Answers :

[B]

Explanation :

2. In the previous question, the distance between the holes will

Correct Answers :

[A]

Explanation :

3. A metal wire of length *l* and area of cross-section *A* is fixed
between rigid supports at negligible tension. If this is cooled, the tension in the wire will be

Correct Answers :

[C]

Explanation :

4. Two metal rods of the same length and area of cross-section are
fixed end to end between rigid supports. The materials of the rods have Young modulii γ_{1} and γ_{2} and coefficients of linear
expansion α_{1} and α_{2}. The junction between the rods does not shift if the rods are cooled.

Correct Answers :

[A]

Explanation :

5.

Three rods of equal length are joined to form an equilateral triangle ABC. D is the midpoint of AB. The coefficient of linear expansion is α_{1} for AB, and α_{2} for AC and BC. If the distance DC
remains constant for small changes in temperature,

Three rods of equal length are joined to form an equilateral triangle ABC. D is the midpoint of AB. The coefficient of linear expansion is α

Correct Answers :

[C]

Explanation :

6. When the temperature of a body increases from *t* to *t* + Δ*t*, its
moment of inertia increases from *I* to *I* + Δ*I*. The coefficient of linear expansion of the body is α. The ratio ΔI/I is equal to

Correct Answers :

[D]

Explanation :

of the even placed digits and the odds placed digits should be either 0 or a multiple of 11. This means that (A + 8) – (3 + 1) should be a multiple of 11 – as it is not possible to make it zero. Thus, the smallest value that A can take (and in fact the only value it can take) is 7. Option (c) is correct.

7. A horizontal tube, open at both ends, contains a column of
liquid. The length of this liquid column does not change with
temperature. Let γ = coefficient of volume expansion of the liquid
and α = coefficient of linear expansion of the material of the tube.

Correct Answers :

[B]

Explanation :

8.

In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures,*t1* and *t2*. The liquid columns in the two arms have heights *l1* and *l2* respectively. The coefficient of volume expansion of the liquid is equal to

In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures,

Correct Answers :

[A]

Explanation :

9. A solid whose volume does not change with temperature floats
in a liquid. For two different temperatures *t1* and *t2* of the liquid, fractions *f1* and *f2* of the volume of the solid remain submerged in the liquid. The coefficient of volume expansion of the liquid is equal to

Correct Answers :

[A]

Explanation :

10.A solid with coefficient of linear expansion α just floats in a
liquid whose coefficient of volume expansion is γ. If the system is
heated, the solid will

Correct Answers :

[C]

Explanation :

11. A gas at absolute temperature 300 K has pressure = 4 X 10^{-10}N/m^{2}.
Boltzmann constant = *k* = 1.38 X 10^{-23} J/K. The number of molecules per cm^{3} is of the order of

Correct Answers :

[B]

Explanation :

12. The root-mean-square (rms) speed of oxygen molecules (O_{2}) at a
certain absolute temperature is *ν*. If the temperature is doubled and the oxygen gas dissociates into atomic oxygen, the rms speed
would be

Correct Answers :

[C]

Explanation :

13. The average translational kinetic energy of O_{2} (molar mass 32) at
a particular temperature is 0.048 eV. The average translational kinetic energy of N_{2} (molar mass 28) molecules in eV at the same
temperature is

Correct Answers :

[C]

Explanation :

14. A gas has volume *V* and pressure *p*. The total translational
kinetic energy of all the molecules of the gas is

Correct Answers :

[D]

Explanation :

15. A closed vessel is maintained at a constant temperature. It is first
evacuated and then vapour is injected into it continuously. The
pressure of the vapour in the vessel

Correct Answers :

[B]

Explanation :

16. When an air bubble rises from the bottom to the surface of a lake,
its radius becomes double. Find the depth of the lake, given that
the atmospheric pressure is equal to the pressure due to a
column of water 10 m high. Assume constant temperature and
disregard surface tension.

Correct Answers :

[C]

Explanation :

17. Two containers of equal volume contain the same gas at
pressures *p*_{1} and *p*_{2} and absolute temperatures *T*_{1} and *T*_{2} respectively. On joining the vessels, the gas reaches a common
pressure *p* and a common temperature *T*. The ratio *p/T* is equal to

Correct Answers :

[B]

Explanation :

18. Two identical containers joined by a small pipe initially contain
the same gas at pressure *p*_{0} and absolute temperature *T*_{0}. One container is now maintained at the same temperature while the other is heated to *2T*_{0}. The common pressure of the gases will be

Correct Answers :

[B]

Explanation :

19. In the previous question, let *V*_{0} be the volume of each container.
All other details remain the same. The number of moles of gas in the container at temperature 2*T*_{0} will be

Correct Answers :

[C]

Explanation :

20.

A horizontal cylinder has two sections of unequal cross-sections, in which two pistons can move freely. The pistons are joined by a string. Some gas is trapped between the pistons. If this gas is heated, the pistons will

A horizontal cylinder has two sections of unequal cross-sections, in which two pistons can move freely. The pistons are joined by a string. Some gas is trapped between the pistons. If this gas is heated, the pistons will

Correct Answers :

[B]

Explanation :

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