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Question: Answered & Verified by Expert
A particle is moving along a circular path with constant speed and centripetal acceleration $a$. If the speed is doubled, the ratio of its acceleration after and before the change is
PhysicsMotion In Two DimensionsMHT CETMHT CET 2022 (08 Aug Shift 2)
Options:
  • A 2:1
  • B 4:1
  • C 3:1
  • D 1:4
Solution:
2728 Upvotes Verified Answer
The correct answer is: 4:1
$\begin{aligned}
& \text { Centripetal acceleration }=\frac{v^2}{R} \\
& \therefore a \propto v^2
\end{aligned}$
If the speed is doubled, then the ratio of its acceleration after and before are in $4: 1$ ratio.

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