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Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

In a mixture of gases, the average number of degrees of freedom per molecule is $6$ . The root mean square speed of the molecules of the gas is $c$ . The velocity of sound in the gas is

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Answer:

Solution:

$γ = 1 + \frac{2}{f} = 1 + \frac{2}{6} = \frac{4}{3}$

Root mean square speed, $c = \sqrt{\frac{3 P}{ρ}}$

and speed of sound, $v = \sqrt{\frac{γ P}{ρ}}$

$∴ \frac{v}{c} = \sqrt{\frac{γ}{3}}$

$\frac{v}{c} = \sqrt{\frac{\frac{4}{3}}{3}}$

$v = \frac{2 c}{3}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Sound WaveSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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