If Cs be the velocity of sound in air and C be the r.m.s

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If C_s be the velocity of sound in air and C be the r.m.s velocity, then

1. C_s < C
2. C_s = C
3. C_s = C (γ/3)^1/2
4. none of these

Correct Option: C

Velocity of sound (C_S) = √γP/ρ
R.M.S. velocity of gas molecules = √3P/ρ

	C_S	√	γP	×	ρ	= √	γ
	C		ρ		3P		3

⇒ C_s = C × √	γ
	3