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MHT CET · Physics · Motion In Two Dimensions

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

  1. A 2:1
  2. B 4:1
  3. C 3:1
  4. D 1:4
Verified Solution

Answer & Solution

Correct Answer

(B) 4:1

Step-by-step Solution

Detailed explanation

\(\begin{aligned}
& \text { Centripetal acceleration }=\frac{v^2}{R} \\
& \therefore a \propto v^2
\end{aligned}\)
If the speed is doubled, then the ratio of its acceleration after and before are in \(4: 1\) ratio.