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Question

10,000 small balls, each weighing 1g strike one square cm of area per second with a velocity of 100ms-1 in a normal direction and rebound with the same velocity. The value of pressure on the surface will be


A

2×103Nm-2

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B

2×105Nm-2

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C

107Nm-2

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D

2×107Nm-2

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Solution

The correct option is D

2×107Nm-2


Step 1. Given data.

No of balls =10000

mass of each ball =1g=10-3Kg

Area =1cm2=10-4m2

Velocity =100ms-1

Step 2. Calculating pressure.

Pressure =Forcearea=maA

=[noofballs×massofeachball×changeinvelocityperunittime]Area=10000×10-3×(v(v))10-4

As the ball rebound with the same velocity hence v2=v

=10000×10-3×2×10010-4=2×107N/m2

Hence, the correct option is (D).


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