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Systems of Particles and Rotational Motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsSystems of Particles and Rotational Motion1 Mark
MCQ
A particle is moving along a fixed circular orbit with uniform speed. Then the correct statement among the following is:
  • A
    Angular momentum of particle is constant only in magnitude but its direction changes from point to point.
  • B
    Angular momentum of particle is constant only in direction but its magnitude changes from point to point.
  • C
    Angular momentum of particle is constant both in magnitude and direction.
  • D
    Angular momentum of particle is not constant both in magnitude and direction.
✓

Answer

  1. Angular momentum of particle is constant both in magnitude and direction.

Explanation:

Let fixed orbit have radius 'R' and uniform velocity of the partial is V.

According to Question:

Angular momentum $\text{L}=\text{M}(\vec{\text{V}}×\vec{\text{R}}) $.......(1)

Direction = Perpendicular to the plane of motion ...(2)

($\because$ V, R is constant so L will be constant as well).

from equation 1, 2. L will be constant in magnitude and direction.

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