A particle moves in a circular orbit under action of a central attractive force inversely proportion

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3-2.Motion in Plane

easy

A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance $'r'$. The speed of the particle is

AProportional to ${r^2}$

BIndependent of $r$

CProportional to $r$

DProportional to $1/r$

Solution

$\frac{{m{v^2}}}{r} \propto \frac{K}{r}$
$⇒$ $v \propto r^o$
i.e. speed of the particle is independent of $r$.

Standard 11

Physics

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