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Question

Physics Question on sound

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K. is

A

(2/7)\sqrt{(2/7)}

B

(1/7)\sqrt{(1/7)}

C

(3)/5(\sqrt{3})/5

D

(6)/5(\sqrt{6})/5

Answer

(3)/5(\sqrt{3})/5

Explanation

Solution

V=γRTM;V1V2=γ1M2γM1V = \sqrt{\frac{\gamma RT}{M}} ; \frac{V_1}{V_2} = \sqrt{\frac{\gamma_1 M_2}{\gamma M_1}}