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Here is the exam paper

A container with rigid walls is covered with perfectly insulating material. The container is divided into two parts by a partition. One part contains a gas while the other is fully evacuated (vacuum). The partition is suddenly removed. The gas rushesto fill the entire volume and comes toequilibrium aftera little time. If the gas is notideal,

(A) the initial internal energy of thegas equals its final internal energy
(B) the initial temperature of the gas equals its final temperature
(C) the initial pressure of the gas equals its final pressure
(D) the initial entropy of the gas equals its final entrop

Two bulbs of identical volumes connected by a small capillary are initially filled with an ideal gas at temperature T. Bulb 2 is heated to maintain a temperature 2T while bulb 1 remains at temperature T. Assume throughout that the heat conduction by the capillary is negligible. Then the ratio of final mass of the gas in bulb 2 to the initial mass of the gas in the same bulb is close to -
(A) 1/2
(B) 2/3
(C) 1/3
(D) 1

Jet aircrafts fly at altitudes above 30,000 ft where the air is very cold at – 40ºC and the pressure is 0.28 atm. The cabin is maintained at 1 atm pressure by means of a compressor which exchanges air from outside adiabatically. In order to have a comfortable cabin temperature of 25ºC, we will require in addition -
(A) a heater to warm the air injected into the cabin
(B) an air-conditioner to cool the air injected into the cabin
(C) neither a heater nor an air-conditioner ; the compressor is sufficient
(D) alternatively heatingand cooling in the two halves of the compressor cycle

A plane polarized light passed through successive polarizers which are rotated by 30º with respect to each other in the clockwise direction. Neglecting absorption by the polarizers and given that the first polarizer's axis is parallel to the plane of polarization of the incidentlight, the intensity of light at the exit of the fifth polarizer is closest to -
(A) same as that of the incident light
(B) 17.5% of the incident light
(C) 30% of the incident light
(D) zero





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