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.

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.

Tardigrade Admin · Accepted Answer

Here assertion is false but reason is true and the acceleration of the particle is given by | a |=√ac2+at2 (i.e., vector sum) where ac= centripetal acceleration and at= tangential acceleration.

Q. 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.

If both the assertion and reason are true and reason explains the assertion.

If both the assertion and reason are true but reason does not explain the assertion.

If assertion is true but reason is false.

If assertion is false but reason is true.

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

Q. 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.