Q. Match Column-I and Column-II and choose the correct match from the given choices. [table] Column-I | Column-II ; (A) Root mean square speed of gas molecules | (P) $\frac{1}{3}nmv^2$ ; (B) Pressure exerted by ideal gas | (Q) $\sqrt{\frac{3RT}{M}}$ ; (C) Average kinetic energy of a molecules | (R) $\frac{5}{2}RT$ ; (D) Total internal energy of 1 mole of a diatomic gas | (S) $\frac{3}{2}k_BT$ [/table]
A) (A) - (Q), (B) - (R), (C) - (S), (D) - (P)
B) (A) - (Q), (B) - (P), (C) - (S), (D) - (S)
C) (A) - (R), (B) - (Q), (C) - (P), (D) - (S)
D) (A) - (R), (B) - (P), (C) - (S), (D) - (Q)
Explanation
[Solution] $v_{rms} = \sqrt{3RT/M}$; $P = \frac{1}{3}nmv^2$; average KE $= \frac{3}{2}k_BT$; internal energy of 1 mol diatomic gas $= \frac{5}{2}RT$, i.e. A-Q, B-P, C-S, D-R. Option (b) matches except that its last pair is misprinted as (D)-(S) in the source. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.