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  4. In a dilute gas at pressure P and temperature T the mean time between successive collisions of a molecule varies with T as :

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Q. In a dilute gas at pressure $P$ and temperature $T$ the mean time between successive collisions of a molecule varies with $T$ as :

JEE MainJEE Main 2020Kinetic Theory

Solution:

$v _{\text{ avg }} \propto \sqrt{ T }$
$t _{0}:$ mean time
$\lambda:$ mean free path
$t _{0}=\frac{\lambda}{ v _{ avg }} \propto \frac{1}{\sqrt{ T }}$