JEE Main | 2018Momentum and CollisionHard

Question

The mass of a hydrogen molecule is 3.32× 10-27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall of area 2 cm2 at an angle of 45o to the normal, and rebound elastically with a speed of 103 m/s, then the pressure on the wall is nearly :

Options

A.

4.70 × 103 N/m2

B.

2.35 × 102 N/m2

C.

4.70 × 102 N/m2

D.

2.35 × 103 N/m2

Solution

   
F = dpdt= 2n mv cos 45o
Pressure = FA=2nmv cos 45ºArea
= 2×1023×3.3×10-27×103×122×10-4
= 2.35 × 103 N/m2

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