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

Options

A. `2.34xx10^(3)` Pa
B. `0.23xx10^(6)`Pa
C. `0.23xx10^(3)`Pa
D. `23.4xx10^(3)`Pa

Answer

A

Explanation

`F=(Deltap)/(Deltat)=(nm)(2vcos theta)`
Pressure, `p=F/A=((nm)(2vcos theta))/A`
`" "=(10^(23)xx3.32xx10^(-27)xx2xx100xxcos45^(@))/(2xx10^(-4))`
`" "=2.34xx10^(3)Nm^(-2)`