Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If the oxygen $\left(\mathrm{O}_2\right)$ has root mean square velocity of $C \mathrm{~ms}^{-1}$, then root mean square velocity of the hydrogen $\left(H_2\right)$ will be
PhysicsKinetic Theory of GasesJEE Main
Options:
  • A $\mathrm{Cms}^{-1}$
  • B $\frac{1}{C} m s^{-1}$
  • C $4 \mathrm{Cms}^{-1}$
  • D $\frac{C}{4} m s^{-1}$
Solution:
1624 Upvotes Verified Answer
The correct answer is: $4 \mathrm{Cms}^{-1}$
$v_{r m s} \propto \frac{1}{\sqrt{M}} \Rightarrow \frac{v_{\mathrm{O}_2}}{v_{\mathrm{H}_2}}=\sqrt{\frac{M_{\mathrm{H}_2}}{M_{\mathrm{O}_2}}} \Rightarrow \frac{C}{v_{\mathrm{H}_2}}=\sqrt{\frac{2}{32}}=\frac{1}{4}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.