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Q.

10000 small balls, each weighing 1 g, strikes 1 cm2 of area per second with a velocity 100 ms-1 in a normal direction and rebound with the same velocity. The value of pressure on the surface will be

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a

107 Nm-2

b

2 × 103 Nm-2

c

2 × 107 Nm-2

d

2 × 105 Nm-2

answer is D.

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Detailed Solution

In 1 cm2 area, 104 balls are striking per second. Therefore, in 1 m2 area, 108 balls will strike per second.
Change in momentum of each ball per second will be 2 mu.

  Pressure =FA=N(Δp/Δt)A=n×2m×un=NAΔt=108

                      = 108×2×10-3×100

                       = 2×107 Nm-2

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