Given below are two statements: one is labelled as Assertion (A)...

Assertion (A) is true: The centripetal acceleration is given by $a_c = \dfrac{v^2}{r}$. For a constant linear speed $v$, $a_c \propto \dfrac{1}{r}$. Thus, a smaller radius $r$ results in a greater centripetal acceleration.

Reason (R) is true: The time period is given by $T = \dfrac{2\pi r}{v}$. This shows that $T$ is directly proportional to $r$ and inversely proportional to $v$.

However, Reason (R) does not explain Assertion (A). The correct explanation for the assertion is the inverse relationship between centripetal acceleration and radius for a given speed, not the formula for the time period.

Answer: Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)