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Question: Velocity of sound in He at certain temperature is ‘v<sub>0</sub>’. Velocity of sound in N<sub>2</sub...

Velocity of sound in He at certain temperature is ‘v0’. Velocity of sound in N2 at that temperature will be -

A

35\frac{\sqrt{3}}{5}v0

B

37\frac{\sqrt{3}}{7} v0

C

17\frac{1}{\sqrt{7}} v0

D

37\sqrt{\frac{3}{7}} v0

Answer

35\frac{\sqrt{3}}{5}v0

Explanation

Solution

v2v1\frac{v_{2}}{v_{1}} = γ2γ1.m1m2\sqrt{\frac{\gamma_{2}}{\gamma_{1}}.\frac{m_{1}}{m_{2}}}

v2 = velocity in nitrogen

v1 = velocity in helium

̃ v2 = 35\frac{\sqrt{3}}{5} v0