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NEET · Physics · STD 11 - 12 . kinetic theory of gases

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 \((P)\) \(\frac{1}{3} \mathrm{n} m \bar{v}^{2}\)
\((B)\) Pressure exerted by ideal gas \((Q)\) \(\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}\)
\((C)\) Average kinetic energy of a molecule \((R)\) \(\frac{5}{2} \mathrm{RT}\)
\((D)\) Total internal energy  of \(1\) mole of a diatomic gas \((S)\) \(\frac{3}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}\)

  1. A \((A) - (R), (B) - (P), (C) - (S), (D) - (Q)\)
  2. B \((A) - (Q), (B) - (R), (C) - (S), (D) - (P)\)
  3. C \((A) - (Q), (B) -(\mathrm{P}),(\mathrm{C})-(\mathrm{S}),(\mathrm{D})-(\mathrm{R})\)
  4. D \((A) - (R), (B) - (Q), (C) - (P), (D) - (S)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \((A) - (Q), (B) -(\mathrm{P}),(\mathrm{C})-(\mathrm{S}),(\mathrm{D})-(\mathrm{R})\)

Step-by-step Solution

Detailed explanation

\((A)\) \(V_{r m s}=\sqrt{\frac{3 R T}{M}}\) \((B)\) \(P=\frac{1}{3} n m V_{m}^{2}\)
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