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Q3 (CISF/2026) Science & Technology › Basic Science (Physics, Chemistry, Biology)

Two guns A and B, which do not have recoil suppression mechanisms, are tested by firing identical bullets. Mass of both the guns is the same. If gun A recoils at a faster speed than gun B, then which one among the following is correct ?

Result
Your answer: —  Â·  Correct: A

Explanation

The correct answer is A. This scenario is governed by the Law of Conservation of Linear Momentum. In an isolated system, the total momentum before firing (which is zero) must equal the total momentum after firing.

  • The formula is: mgvg = mbvb (where m is mass, v is velocity, g is gun, and b is bullet).
  • Since the masses of both guns (mg) and the bullets (mb) are identical, the recoil velocity (vg) is directly proportional to the muzzle velocity of the bullet (vb).
  • If Gun A recoils at a faster speed than Gun B, it mathematically implies that the bullet from Gun A was fired at a higher speed.

Option B is likely false as higher velocity implies higher kinetic energy, meaning Gun A would travel further. Options C and D are incorrect because higher momentum change in Gun A implies a greater force was exerted.

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