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10000 small ball, each weighting 1g. Str...

10000 small ball, each weighting 1g. Strike one square centimetre of area second with a velocity 100 m/s in normal directions and rebound with the same velocity . The volue of pressure on the surface will be

A

`2xx10^(10) N/m^(2)`

B

`2xx10^(5) N/m^(2)`

C

`10^(7)N//m`

D

`2xx10^(7) N/m^(2)`

Text Solution

Verified by Experts

`p=(F)/(A) ={n(mv-(-mv)})/(A)=(2mnv)/(A)`
`=(2xx10^(-3)xx10^(4)xx10^(2))/(10^(-4))=2xx10^(7)N//m^(2)`
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Knowledge Check

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

    A
    `2xx10^(3)N//m^(2)`
    B
    `2xx10^(5)N//m^(2)`
    C
    `10^(7)N//m^(2)`
    D
    `2xx10^(7)N//M^(2)`
  • 2000 small balls, each weighing 1 g, strike one square cm of area per second with a velocity of 100 m/s normal to the surface and rebounds with the same velocity. The pressure on the surface is

    A
    `2xx10^(3)N//m^(2)`
    B
    `2xx10^(5)N//m^(2)`
    C
    `4xx10^(3)N//m^(2)`
    D
    `4xx10^(6)N//m^(2)`
  • 500 steel ballls each of mass 1 gram strike normally one sq. cm area of a metal plate per second, with a velocity of 10 m/s and rebound with the same velocity. What is the pressure exerted by the balls on the surface of the plate?

    A
    `10^(4)N//m^(2)`
    B
    `10^(5)N//m^(2)`
    C
    `2xx10^(5)N//m^(2)`
    D
    `4xx10^(4)N//m^(2)`
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