Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2015-Paper-2 An ideal monoatomic gas is confined in a hor…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2015-Paper-2 Single Correct MCQ
Published on: August 14, 2026

An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature T 1 , pressure P 1 and volume V 1 and the spring is in its relaxed state. The gas is then heated very slowly to temperature T 2 , pressure P 2 and volume V 2 . During this process the piston moves out by a distance x. Ignoring the friction between the piston and the cylinder, the correct statement(s) is(are)

A
If V 2 = 2V 1 and T 2 = 3T 1 , then the energy stored in the spring is P 1 V 1
B
If V 2 = 2V 1 and T 2 = 3T 1 , then the change in internal energy is 3P 1 V 1
C
If V 2 = 3V 1 and T 2 = 4T 1 , then the work done by the gas is P 1 V 1
D
If V 2 = 3V 1 and T 2 = 4T 1 , then the heat supplied to the gas is P 1 V 1

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Text Solution

Verified by Experts
The correct answer is:
B

(b or a,b,c)P (pressure of gas) =

Case I:

Case II:

Note: A and C will be true after assuming pressure to the right of piston has constant value P 1 .

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