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Question: Answered & Verified by Expert
For a particle performing uniform cicular motion, choose the correct statement(s) from the following
PhysicsMotion In Two Dimensions
Options:
  • A
    Magnitude of particle velocity (speed) remains constant
  • B
    Particle velocity remains directed perpendicular to radius vector
  • C
    Direction of acceleration keeps changing as particle moves
  • D
    Angular momentum is constant in magnitude but direction keeps changing
Solution:
2851 Upvotes Verified Answer
The correct answers are:
Magnitude of particle velocity (speed) remains constant
,
Particle velocity remains directed perpendicular to radius vector
,
Direction of acceleration keeps changing as particle moves
According to the question, for a particle performing uniform circular motion.
In uniform circular motion :


(i) Speed will always constant.
(ii) Velocity will be tangential in the direction of motion at a particular point. If a string breaks up the particle move tangentially.
(iii) The direction of acceleration $a=\left(\frac{v^2}{r}\right)$ is always be towards centre of the circular path.
(iv) Angular momentum $L=m v r$ is constant in magnitude and direction/out of the plane perpendicularly. So direction of $(L)$ does not change. So does not verify option (d).

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