Question

By what factor the r.m.s. velocity will change, if the temperature is raised from 27C to 327C

• A. $\sqrt{2}$
• B. 2
• C. $2\sqrt{2}$
• D. 1

Answer 1

Answer: (A)

$\sqrt{2}$

Answer 2

$v_{rms} \propto \sqrt{T}$Ž$\frac{v_{1}}{v_{2}} = \sqrt{\frac{T_{1}}{T_{2}}}$

$= \sqrt{\frac{(273 + 27)}{(273 + 327)}} = \sqrt{\frac{300}{600}} = \frac{1}{\sqrt{2}}$

$\Rightarrow v_{2} = \sqrt{2}v_{1}$