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$(S)$ $\frac{3}{2} k_{B} T$

  • 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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