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The mass of hydrogen molecule is 3.32xx1...

The mass of hydrogen molecule is `3.32xx10^(-27)` kg. If `10^(23)` hydrogen molecules strikes per second at 2 `cm^(2)` area of a rigid wall at an angle of `45^(@)` from the normal and rebound back with a speed of 1000 `ms^(-1)`, then the pressure exerted on the wall is

A

`2.35 xx 10^2 "N/m"^2`

B

`4.70xx10^2 "N/m"^2`

C

`2.35 xx 10^3 "N/m"^2`

D

`4.70 xx10^3 "N/m"^2`

Text Solution

Verified by Experts

The correct Answer is:
C
`F_(" avg ")=2NmV cos theta`
Pressure =`(2Nm cos theta)/(A)`
`=(2(10^(23))(3.32xx10^(-27))(1)/(sqrt(7))xx10^(3))/(2xx10^(-4))= 2.35xx10^(3)N"/"m^2`.
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