Kinematics Question 468

Question: Assertion: When a particle moves in a circle with a uniform speed, it’s velocity and acceleration both changes. Reason: The centripetal acceleration in circular motion is dependent on angular velocity of the body.

Options:

A) If both assertion and reason are true and the reason is the correct explanation of the assertion.

B) If both assertion and reason are true but reason is not the correct explanation of the assertion.

C) If assertion is true but reason is false.

D) If the assertion and reason both are false.

E) If assertion is false but reason is true.

Show Answer

Answer:

Correct Answer: B

Solution:

In uniform circular motion, the magnitude of velocity and acceleration remains same, but due to change in direction of motion, the direction of velocity and acceleration changes. Also the centripetal acceleration is given by $ a={{\omega }^{2}}r. $



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