A particle moves in a circular orbit under

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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

A

Proportional to ${r^2}$

B

Independent of $r$

C

Proportional to $r$

D

Proportional to $1/r$

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

$\frac{{m{v^2}}}{r} \propto \frac{K}{r}$

$⇒$ $v \propto r^o$

i.e. speed of the particle is independent of $r$.