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Question: Answered & Verified by Expert
If the molecular weight of two gases are $M_1$ and $M_1$, then at a temperature the ratio of root mean square velocity $v_1$ and $v_2$ will be
PhysicsKinetic Theory of GasesJEE Main
Options:
  • A $\sqrt{\frac{M_1}{M_2}}$
  • B $\sqrt{\frac{M_2}{M_1}}$
  • C $\sqrt{\frac{M_1+M_2}{M_1-M_2}}$
  • D $\sqrt{\frac{M_1-M_2}{M_1+M_2}}$
Solution:
2468 Upvotes Verified Answer
The correct answer is: $\sqrt{\frac{M_2}{M_1}}$
$v_{r m s}=\sqrt{3 R T / M} \Rightarrow \frac{v_1}{v_2}=\sqrt{\frac{M_2}{M_1}}$

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