1
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be :

(Molecular weight of oxygen is 32g/mol; R = 8.3 J K$$-$$1 mol$$-$$1)
A
$$\sqrt {{{3\pi } \over 8}}$$
B
$$\sqrt {{3 \over 3}}$$
C
$$\sqrt {{8 \over 3}}$$
D
$$\sqrt {{{8\pi } \over 3}}$$
2
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $$\gamma$$ is the ratio of specific heats) :
A
$$- {1 \over \gamma }{{dV} \over V}$$
B
$$- \gamma {V \over {dV}}$$
C
$$- \gamma {{dV} \over V}$$
D
$${{dV} \over V}$$
3
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1 and that of the other part is S2. Given that S1 > S2. If the piston is removed then the total entropy of the system will be :
A
S1 $$-$$ S2
B
$${{{S_1}} \over {{S_2}}}$$
C
S1 $$\times$$ S2
D
S1 + S2
4
JEE Main 2021 (Online) 18th March Morning Shift
+4
-1
The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use $$\gamma$$ = 1.4) :

A
$$-$$500 J
B
$$-$$400 J
C
400 J
D
200 J
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