Q. A body moving along a circular path of radius $R$ with velocity $v$, has centripetal acceleration $a$. If its velocity is made equal to $2v$, then its centripetal acceleration is
A) $4a$
B) $2a$
C) $\frac{a}{4}$
D) $\frac{a}{2}$
Explanation
(a) $\frac{v^{2}}{r} = a,$ the centripetal acceleration [Given]
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If $v$ is doubled, $a^{''} = \frac{4v^{2}}{r} = 4a$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.