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  • The pulse of sound wave travels a distance   in helium gas in time <img alt="\mathrm{T}" src="htt

The pulse of sound wave travels a distance \mathrm{l}  in helium gas in time \mathrm{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 \mathrm{l} in time -
 

Option: 1

\mathrm{4.36\: T}


Option: 2

\mathrm{0.23\: T}


Option: 3

\mathrm{3\: T}


Option: 4

\mathrm{0.46\: T}


Answers (1)

best_answer

\mathrm{ \frac{V_{\mathrm{O}_2}}{V_{\mathrm{HC}}}=\frac{\sqrt{\frac{7 / 5 R T}{32}}}{\sqrt{\frac{5 / 3 R T}{4}}}=\sqrt{\frac{7 / 5 R T}{32}} \times \sqrt{\frac{4}{5 / 3 R T}} }

\mathrm{\frac{V_{\mathrm{O}_2}}{V_{\mathrm{HC}}}=0.32}

\mathrm{or V_{02}=0.32 V_{\text {Hc }}}

\mathrm{\text { Time taken }=\frac{1}{0.32} \times T=3 T }

Hence option 3 is correct.




 

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