Q. For a gas, the $r.m.s.$ speed at $800\ K$ is
A) Four times the value at $200\ K$
B) Half the value at $200\ K$
C) Twice the value at $200\ K$
D) Same as at $200\ K$
Explanation
(c) $v_{rms} \propto \sqrt{T} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{T_{1}}{T_{2}}} = \sqrt{\frac{200}{800}} = \frac{1}{2} \Rightarrow v_{2} = 2v_{1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.