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Q. If a body moving in a circular path maintains constant speed of $10\, ms^{-1}$, then which of the following correctly describes relation between acceleration and radius ?

JEE MainJEE Main 2015Motion in a Plane

Solution:

Since it is a uniform circular motion, $|\bar{\nu}|=$ constant tangential acceleration $a_{T}=0$ $a=a_{R}=\frac{v^{2}}{r}$
$\Rightarrow a \propto \frac{1}{r}$
(Rectangular hyperbola)
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