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CDS 2026 · PYQ · Physics / Laws of Motion · easy

Which one of the following statements qualitatively explains the second law of motion?

  1. A.The rate of change of angular momentum of a body is equal to the applied force.
  2. B.The rate of change of displacement of a body is directly proportional to the applied force.
  3. C.The rate of change of acceleration of a body is directly proportional to the applied force.
  4. D.The rate of change of momentum of a body is equal to the applied force.✓ Correct

Explanation

Newton's second law of motion states that the rate of change of linear momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts. Mathematically, F = dp/dt, where p is linear momentum. Option (a) refers to angular momentum and torque, not force. Option (b) confuses displacement with momentum. Option (c) wrongly involves the rate of change of acceleration. Hence option (d) correctly states the second law qualitatively.
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