Question

The rms speed of molecules in a mono-atomic gas is C. The speed of sound in the gas is:
a)C
b)\(\frac{2}{3}\)C
c)\(\frac{\sqrt5}{3}\)C
d)\(\sqrt5\)C

Answer 1

Ans: C

Answer 2

\[V_{rms}=\sqrt{\frac{3RT}{M}}\]

and
\[V_{sound}=\sqrt{\frac{\gamma RT}{M}}\]
where
\[\gamma=1+\frac{2}{f}\]
where f is the degree of freedom.

Here f=3 for mono-atomic gas.

Now on using above formulas, you can get the answer.

If you stuck somewhere then plz inform me.

Answer 3

Dhanyabad @ramkrishna sir!