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Q.

The air tight and smooth pistons of a cylindrical vessel are connected with a string, as shown. Initially, pressure and temperature of the gas are P0 and T0. The atmospheric pressure is also P0. At a later time. tension in the string is 38P0A where A is the crosssectional are of the cylinder. At this time, the temperature of the gas has become:

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a

38T0

b

34T0

c

118T0

d

138T0

answer is C.

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Detailed Solution

T+P0A=PA             T=P−P0A=38P0A (given) P=38P0+P0=118P0Now volume is constant by stringSo, P ∝ TInitial temperature is T0.
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