A bullet of 4   g mass is fired from a gun of mass 4   kg . If the bullet moves with the muzzle…

A bullet of 4 g mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms1, the impulse imparted to the gun and velocity of recoil of gun are 
  1. 0.4 kg m s-1, 0.1 m s-1
  2. 0.2 kg m s-1, 0.05 m s-1
  3. 0.2 kg m s-1, 0.1 m s-1
  4. 0.4 kg m s-1, 0.05 m s-1

Solution

By momentum conservation,
4×10-3(50-v)-4v=0
v=4×10-3×504+4×10-3≈0.05 m s-1
Impulse  J=mv=4×.05=0.2 kg m s-1

Asked in: JEE Main 2021 (22 Jul Shift 1)

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