1
JEE Advanced 2019 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1 One mole of a monatomic ideal gas goes through a thermodynamic cycle, as shown in the volume versus temperature (V-T) diagram. The correct statement(s) is/are [R is the gas constant] A
Work done in this thermodynamic cycle (1$$\to$$2$$\to$$3$$\to$$4$$\to$$1) is $$\left| W \right| = {1 \over 2}R{T_0}$$.
B
The ratio of heat transfer during processes 1$$\to$$2 and 2$$\to$$3 is $$\left| {{{{Q_{1 \to 2}}} \over {{Q_{2 \to 3}}}}} \right| = {5 \over 3}$$
C
The above thermodynamic cycle exhibits only isochoric and adiabatic processes.
D
The ratio of heat transfer during processes 1$$\to$$2 and 3$$\to$$4 is $$\left| {{{{Q_{1 \to 2}}} \over {{Q_{3 \to 4}}}}} \right| = {1 \over 2}$$
2
JEE Advanced 2018 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where $$V$$ is the volume and $$T$$ is the temperature). Which of the statements below is (are) true? A
Process $${\rm I}$$ is an isochoric process
B
In process $${\rm II}$$, gas absorbs heat
C
In process $${\rm IV}$$, gas releases heat
D
Process $${\rm I}$$ and $${\rm III}$$ are not isobaric
3
JEE Advanced 2015 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
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 T1, pressure P1 and volume V1 and the spring is in its relaxed state. The gas is then heated very slowly to temperature T2, pressure P2 and volume V2. During this process the piston moves out by a distance x.

Ignoring the friction between the piston and the cylinder, the correct statements is/are A
If V2 = 2V1 and T2 = 3Tl, then the energy stored in the spring is $${1 \over 4}{P_1}{V_1}$$
B
If V2 = 2V1 and T2 = 3T1, then the change in internal energy is $$3{P_1}{V_1}$$
C
If V2 = 3V1 and T2 = 4T1, then the work done by the gas is $${7 \over 3}{P_1}{V_1}$$
D
If V2 = 3V1 and T2 = 4T1, then the heat supplied to the gas is $${17 \over 6}{P_1}{V_1}$$
4
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature T. Assuming the gases are ideal, the correct statement(s) is(are)
A
The average energy per mole of the gas mixture is 2RT
B
The ratio of speed of sound in the gas mixture to that in helium gas is $$\sqrt {{6 \over 5}}$$
C
The ratio of the rms speed of helium atoms to that of hydrogen molecules is $${1 \over 2}$$
D
The ratio of the rms speed of helium atoms to that of hydrogen molecules is $${1 \over {\sqrt 2 }}$$
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