Physics - Heat & Thermo Question with Solution | TestHub

Average linear velocity for collision to occur

$t=\frac{2d}{u}$

Change in momentum in 1 collision

$\mathrm{\Delta }p=2 mu$

$\therefore$average force in collision

$= \frac{\mathrm{\Delta }p}{t}$

($u=$root mean square speed)

$=\frac{2 mu}{2d} \times u$

$\Rightarrow F\propto u^2$

$\therefore u^2 \propto T$

$\Rightarrow F\propto T$

$\Rightarrow q=1$