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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Centre of Mass, Linear momentum, Collision

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

Examine the two statements below: Statement I: The linear momentum...

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 p⃗=mv⃗\vec{p} = m\vec{v}. Since velocity v⃗\vec{v} is frame-dependent, linear momentum also depends on the frame of reference. Thus, Statement I is incorrect.

Kinetic energy is given by K=12mv2K = \dfrac{1}{2}mv^2. Since speed vv 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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