Kinetic Theory - Result Question 17

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

(a) Cs<C

(b) Cs=C

(c) Cs=C(γ/3)1/2

(d) none of these

[1994]

Show Answer

Answer:

Correct Answer: 17. (c)

Solution:

  1. (c) Velocity of sound (CS)=γPρ

R.M.S. velocity of gas molecules (C)=3Pρ

CSC=γPρ×ρ3P=γ3⇒Cs=C×γ3

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