Match Column $- I$ and Column $- II$ and choose the correct match from the given choices.
Column $- I$ Column $- II$ $(A)$ Root mean square speed of gas molecules $(P)$ $\frac{1}{3} n m \bar{v}^{2}$ $(B)$ Pressure exerted by ideal gas $(Q)$ $\sqrt{\frac{3 RT}{M}}$ $(C)$ Average kinetic energy of a molecule $(R)$ $\frac{5}{2} RT$ $(D)$ Total internal energy of $1$ mole of a diatomic gas $(S)$ $\frac{3}{2} k_{B} T$
| Column $- I$ | Column $- II$ |
| $(A)$ Root mean square speed of gas molecules | $(P)$ $\frac{1}{3} n m \bar{v}^{2}$ |
| $(B)$ Pressure exerted by ideal gas | $(Q)$ $\sqrt{\frac{3 RT}{M}}$ |
| $(C)$ Average kinetic energy of a molecule | $(R)$ $\frac{5}{2} RT$ |
| $(D)$ Total internal energy of $1$ mole of a diatomic gas | $(S)$ $\frac{3}{2} k_{B} T$ |
- A$(A) - (R), (B) - (P), (C) - (S), (D) - (Q)$
- B$(A) - (Q), (B) - (R), (C) - (S), (D) - (P)$
- C$(A) - (Q), (B) - (P), (C) - (S), (D) - (R)$
- D$(A) - (R), (B) - (Q), (C) - (P), (D) - (S)$
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