First slide

The two types of acceleration

Question

A body is describing a circle of radius ‘r’. If the centripetal acceleration varies inversely with the square of the radius ‘r’, how does its velocity vary with the radius ?

Moderate

A

$\frac{1}{r^{2}}$
B

$\frac{1}{r}$
C

$\frac{1}{\sqrt{r}}$
D

r

Solution

Here $\frac{v^{2}}{r} \propto \frac{1}{r^{2}} or v^{2} \propto \frac{1}{r} or v \propto \frac{1}{\sqrt{r}}$

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