Question

Assertion : In a non-uniform circular motion, the acceleration of the particle is equal to sum of the tangential acceleration and the centripetal acceleration.
Reason : The two acceleration are perpendicular to each other.

• A. If both the assertion and reason are true and reason explains the assertion.
• B. If both the assertion and reason are true but reason does not explain the assertion.
• C. If assertion is true but reason is false.
• D. If assertion is false but reason is true.

Answer 1

Answer: (D)

Here assertion is false but reason is true and the acceleration of the particle is given by
$| a |=\sqrt{a_{c}^{2}+a_{t}^{2}}$ (i.e., vector sum)
where $a_{c}=$ centripetal acceleration and
$a_{t}=$ tangential acceleration.