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The mean free path of molecules of a gas...

The mean free path of molecules of a gas (radius r) is inversely proportional to

A

r

B

`sqrtr`

C

`r^3`

D

`r^2`

Text Solution

Verified by Experts

The correct Answer is:
D
As mean free path `lambda=(1)/(sqrt2 lambda d^2 n)` (`d rarr` diameter)
`therefore lambda prop (1)/(r^2)`.
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Assertion : For an ideal gas, at constant temperature, the product of the pressure and volume is constant. Reason : The mean square velocity of the molecules is inversely proportional to mass.