Question

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

• 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 the Reason is not the correct explanation of the Assertion
• C. If Assertion is true statement but Reason is false
• D. If both Assertion and Reason are false statements.

Answer 1

Answer: (B)

If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion

When a particle moves in a uniform circular motion, its speed as well as the centripetal acceleration is constant in magnitude but they continuously change their direction. Thus both the velocity and the acceleration changes in uniform circular motion.

Also the centripetal acceleration $a_c=r{w}^2$ where $w$ is the angular velocity

Hence both assertion and the reason are true but reason doesnot explain the assertion.