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Question: Answered & Verified by Expert
If the density of oxygen is 16 times that of hydrogen, what will be the ratio of their corresponding velocities of sound waves
PhysicsWaves and SoundJEE Main
Options:
  • A $1: 4$
  • B $4: 1$
  • C $16: 1$
  • D $1: 16$
Solution:
2184 Upvotes Verified Answer
The correct answer is: $1: 4$
$v=\sqrt{\frac{\gamma P}{\rho}} \Rightarrow \frac{v_{\mathrm{O}_2}}{v_{\mathrm{H}_2}}=\sqrt{\frac{\rho_{\mathrm{H}_2}}{\rho_{\mathrm{O}_2}}}=\sqrt{\frac{1}{16}}=\frac{1}{4}$

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