10,000 small balls, each weighing 1gm , strike one square cm of area per second with a velocity 100m/s in a normal direction and rebound with the same velocity. The value of pressure on the surface will be
A
2×103N/m2
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B
2×105N/m2
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C
107N/m2
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D
2×107N/m2
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Solution
The correct option is D2×107N/m2 Force F= change in momentum per unit time, and Pressure P=FA =n[mv−(−mv)]A=2mnvA 2×10−3×104×10210−4=2×107N/m2