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Concepts Of Physics MCQ Edition [Volume 1]PhysicsCentre of Mass, Linear momentum, Collision

Examine the two statements below: Statement I: The linear momentum of a particle does not depend on the frame of reference. Statement II: The kinetic energy of a particle does not depend on the frame of reference.

Options

  1. AStatement I is incorrect, while Statement II is correct.
  2. BBoth Statement I and Statement II are correct.
  3. CBoth Statement I and Statement II are incorrect.
  4. DStatement I is correct, while Statement II is incorrect.

Correct answer

C. Both Statement I and Statement II are incorrect.

Step-by-step solution

The velocity of a particle depends on the frame of reference from which it is observed. Linear momentum is given by p = m v . Since velocity v is frame-dependent, linear momentum also depends on the frame of reference. Thus, Statement I is incorrect. Kinetic energy is given by K = 1 2 mv^2 . Since speed v is frame-dependent, kinetic energy also depends on the frame of reference. Thus, Statement II is incorrect. Both Statement I and Statement II are incorrect.

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