1
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
A diatomic gas, having $${C_p} = {7 \over 2}R$$ and $${C_v} = {5 \over 2}R$$, is heated at constant pressure. The ratio dU : dQ : dW :
A
5 : 7 : 3
B
3 : 7 : 2
C
5 : 7 : 2
D
3 : 5 : 2
2
JEE Main 2021 (Online) 24th February Evening Shift
+4
-1
If one mole of an ideal gas at (P1, V1) is allowed to expand reversibly and isothermally (A to B) its pressure is reduced to one-half of the original pressure (see figure). This is followed by a constant volume cooling till its pressure is reduced to one-fourth of the initial value (B $$\to$$ C). Then it is restored to its initial state by a reversible adiabatic compression (C to A). The net workdone by the gas is equal to :

A
$$- {{RT} \over {2(\gamma - 1)}}$$
B
$$RT\left( {\ln 2 - {1 \over {2(\gamma - 1)}}} \right)$$
C
$$RT\ln 2$$
D
$$0$$
3
JEE Main 2021 (Online) 24th February Evening Shift
+4
-1
On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :
A
continuously lose their energy till it reaches wall.
B
are attracted by the walls of container.
C
suffer change in momentum when impinge on the walls of container.
D
continuously stick to the walls of container.
4
JEE Main 2021 (Online) 24th February Morning Shift
+4
-1
Match List I with List II.

List I List II
(a) Isothermal (i) Pressure constant
(b) Isochoric (ii) Temperature constant
(d) Isobaric (iv) Heat content is constant

Choose the correct answer from the options given below :
1
(a) - (ii), (b) - (iii), (c) - (iv), (d) - (i)
2
(a) - (ii), (b) - (iv), (c) - (iii), (d) - (i)
3
(a) - (iii), (b) - (ii), (c) - (i), (d) - (iv)
4
(a) - (i), (b) - (iii), (c) - (ii), (d) - (iv)
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