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Question

A bullet was fired from a gun. Choose the correct option for the situation assuming that no external force is acting on the gun-bullet system.


A
During firing, the law of conservation of momentum does not hold true.
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B
Since the mass of the bullet is very less than the mass of the gun, the momentum of the bullet is not equal to the momentum of the gun.
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C
The momentum of the gun is twice the momentum of the bullet.
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D
The magnitude of the momentum of a gun is equal to that of a bullet.
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Solution

The correct option is D The magnitude of the momentum of a gun is equal to that of a bullet.
  • The momentum of the bullet and gun system before the firing is zero because both are stationary.
  • When a bullet is fired, the gun recoils in the opposite direction of the bullet.
  • According to the law of conservation of momentum, the momentum of the bullet-gun system before and after the firing remains the same.
  • Therefore, the magnitude of the momentum of the gun is equal to that of the bullet, but in the opposite direction to conserve momentum.
  • In real-life scenarios, a person holds the gun and absorbs the backward momentum of the gun.

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