Q. Root mean square speed of the molecules of ideal gas is $v$. If pressure is increased two times at constant temperature, the rms speed will become
A) $\frac{v}{2}$
B) $v$
C) $2v$
D) $4v$
Explanation
(b) RMS speed of gas molecules does not depends on the pressure of gas (if temperature remains constant) because $p \propto \rho$. If pressure is increased $n$ times density will also increase by $n$ times but $v_{rms}$ remains constant.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.