AIIMS2019Physics-Dynamics

AIIMS 2019 Physics Momentum MCQ Question

Type: MCQ-numerical-Medium-Class 11

A gun of mass 10 kg10\text{ kg} fires 4 bullets per second. The mass of each bullet is 20 g20\text{ g} and the velocity of the bullet when it leaves the gun is 300m/s300\text{m/s}. The force required to hold the gun while firing is

A

6 N

B

8 N

C

24 N

D

240 N

Correct Answer

Option A

Detailed Explanation

Option A is correct because it accurately describes the relationship between the rate of change of momentum (dp/dt) and force (F) as defined by Newton's second law, where F = dp/dt = nmv, with n being the mass flow rate, m the mass of the bullet, and v its velocity. Option B provides a numerical expression but lacks context and units to clarify its relevance to the question, while option C states a specific force value without showing how it relates to the momentum change, making it incomplete. Understanding that momentum (p) is defined as p = mv helps clarify that the rate of change of momentum is directly linked to the applied force, reinforcing the foundational principles of dynamics.

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