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A body of mass 0.25 kg is projected with...

A body of mass 0.25 kg is projected with muzzle velocity `100 ms^(-1)` from a tank of mass 100 kg. What is the recoil velocity of the tank?

A

`5 ms^(-1)`

B

`25 ms^(-1)`

C

`0.5 ms^(-10)`

D

`0.25 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D

Using law of conservation of momentum, we get
`100 xx v=0.25xx100 implies v=0.25 ms^(-1)`
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Knowledge Check

  • A body of mass 0.25 kg is projected with muzzle velocity 100ms^(-1) from a tank of mass 100 kg. What is the recoil velocity of the tank

    A
    5`ms^(-1)`
    B
    25`ms_(-1)`
    C
    `0.5ms^(-1)`
    D
    `0.25ms^(-1)`
  • A bullet, of mass 40g is horizontally fired with a velocity 150 ms^(-1) from a pistol of mass 3kg. What is the recoil velocity of the pistol?

    A
    `-1.25 ms^(-1)`
    B
    `-3.0 ms^(-1)`
    C
    `-1.5 ms^(-1)`
    D
    `-2.0 ms^(-1)`
  • A bullet of mass 5 g is fired at a velocity of 900 ms^(-1) from a rifle of mass 2.5 kg. What is the recoil velocity of the rifle.?

    A
    `0.9 ms^(-1)`
    B
    `180 ms^(-1)`
    C
    `900 ms^(-1)`
    D
    `1.8 ms^(-1)`
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