1
JEE Main 2021 (Online) 24th February Morning Slot
+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)
2
JEE Main 2021 (Online) 24th February Morning Slot
+4
-1
n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.

A $$\to$$ B : Isothermal expansion at temperature T so that the volume is doubled from V1 to V2 = 2V1 and pressure charges from P1 to P2

B $$\to$$ C : Isobaric compression at pressure P2 to initial volume V1.

C $$\to$$ A : Isochoric change leading to change of pressure from P2 to P1.

Total workdone in the complete cycle ABCA is :

A
nRTln 2
B
0
C
$$nRT\left( {\ln 2 - {1 \over 2}} \right)$$
D
$$nRT\left( {\ln 2 + {1 \over 2}} \right)$$
3
JEE Main 2021 (Online) 24th February Morning Slot
+4
-1
Each side of a box made of metal sheet in cubic shape is 'a' at room temperature 'T', the coefficient of linear expansion of the metal sheet is '$$\alpha$$'. The metal sheet is heated uniformly, by a small temperature $$\Delta$$T, so that its new temperature is T + $$\Delta$$T. Calculate the increase in the volume of the metal box.
A
3a3$$\alpha$$$$\Delta$$T
B
4$$\pi$$a3$$\alpha$$$$\Delta$$T
C
$${{4 \over 3}}$$$$\pi$$a3$$\alpha$$$$\Delta$$T
D
4a3$$\alpha$$$$\Delta$$T
4
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T as :
A
$$\sqrt T$$
B
T
C
$${1 \over T}$$
D
$${1 \over {\sqrt T }}$$
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