Question

The velocity of sound in air is 330 m/s. The r.m.s. velocity of air molecules (γ = 1.4) is approximately equal to(a) 400 m/s(b) 471.4 m/s(c) 231 m/s(d) 462 m/s

Answer 1

B)471.4 it is my answer

Answer 2

Answer:

The r.m.s. velocity of air molecules is 471.4 m/s.

(b) is correct option.

Explanation:

Given that,

Velocity = 330 m/s

$\gamma = 1.4$

We need to calculate the r.m.s. velocity of air molecules

Using formula of r.m.s velocity

$v_{rms}=v\sqrt{\dfrac{3}{\gamma}}$

Put the value in to the formula

$v_{rms}=330\sqrt{\dfrac{3}{1.4}}$

$v_{rms}=483.0\ m/s$

$v_{rms}\aprox471.4\ m/s$

Hence, The r.m.s. velocity of air molecules is 471.4 m/s.