Q 11-12-007NEETNEET 2021Top questionMedium
Match Column - I and Column - II and choose the correct match from the given choices.
Column - I:
(A) Root mean square speed of gas molecules
(B) Pressure exerted by ideal gas
(C) Average kinetic energy of a molecule
(D) Total internal energy of 1 mole of a diatomic gas
Column - II:
(P) $\dfrac{1}{3}nm\bar{v}^2$
(Q) $\sqrt{\dfrac{3RT}{M}}$
(R) $\dfrac{5}{2}RT$
(S) $\dfrac{3}{2}k_BT$
Answer: (D) (A)-(Q), (B)-(P), (C)-(S), (D)-(R)
Concept. Standard kinetic-theory results.
Step 1. Match.
- (A) $v_{\text{rms}} = \sqrt{\dfrac{3RT}{M}}$ → (Q).
- (B) $P = \dfrac13nm\bar{v}^2$ → (P).
- (C) Average KE of a molecule $\dfrac32k_BT$ → (S).
- (D) One mole of a diatomic gas (5 degrees of freedom): $\dfrac52RT$ → (R).
Answer. (A)-(Q), (B)-(P), (C)-(S), (D)-(R) (Option D).
Solution by Sreeraj P, M.Sc Physics