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Number of degrees of freedom of an ideal gas is 5 and velocity of sound in the gas is V. Then rms speed of the molecules of the gas is

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53 V

157 V

1113 V

3V4

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detailed solution

Correct option is B

δ=f+2f=5+25=75Now velocity of sound V=δRTM and rms speed C=3RTM∴ CV=3δ=3×57⇒C=157 V

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