A pulse of sound wave travels a distance $l$ in helium gas in time $T$ at a particular temperature. If at…

A pulse of sound wave travels a distance $l$ in helium gas in time $T$ at a particular temperature. If at the same temperature, a pulse of sound wave is propagated in oxygen gas, it will cover the same distance $l$ in time
  1. $4.36 T$
  2. $0.23 T$
  3. $3 T$
  4. $0.46 T$

Solution

Ratio of velocities, $\frac{v_{\text{O}_2}}{v_{\text{He}}} = \frac{\sqrt{\frac{7/5 RT}{32}}}{\sqrt{\frac{5/3 RT}{4}}} = 0.32$

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