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JEE Main 20206 SeptemberEvening Shift

Exam: JEE Main
Year: 2020
Date: 6 September
Shift: Evening Shift
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main 2020 · 6 September · Evening Shift · Physics · Kinetic Theory of Gases

In a dilute gas at pressure P and temperature ' t ', the time...

In a dilute gas at pressure

P

and temperature '

t

', the time between successive collision of a molecule varies with

T

as :

Options

A $T$
B $\dfrac{1}{\sqrt{T}}$
C $\dfrac{1}{T}$
D $\sqrt{T}$

Correct answer

B. $\dfrac{1}{\sqrt{T}}$

Step-by-step solution

{T}_{mean}\alpha\dfrac{1}{\sqrt{T}}

∴

time

= \dfrac{V}{4\pi\sqrt{2}}{r}^{2}VN

V = \sqrt{\dfrac{2RT}{\piM}}

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