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Suppose there are N molecules each of ma...

Suppose there are N molecules each of mass m, of an ideal gas in a container. The x component of velocity of a molecule is denoted by `u_(x)`. The gas is enclosed using a horizontal piston of area A as shown.

The pressure of the gas is

A

`(m(u_(x)^(2))N)/(AL)`

B

`(m(u_(x)^(2))N)/(3AL)`

C

`(3m(u_(x)^(2))N)/(AL)`

D

`(3m(u_(x)^(2)))/(AL)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • N molecules each of mass m of gas A and 2 N molecules each of mass 2m of gas B are contained in the same vessel which is maintined at a temperature T. The mean square of the velocity of the molecules of B type is denoted by v^(2) and the mean square of the x-component of the velocity of a tye is denoted by omega^(2) . What is the ratio of omega^(2)//v^(2) = ?

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