A particle is moving in a circle of radius

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A particle is moving in a circle of radius $R$ with constant speed $v$, if radius is double then its centripetal force to keep the same speed should be

A

Doubled

B

Halved

C

Quadrupled

D

Unchanged

A particle is moving in a circle of radius $R$ with constant speed $v$, if radius is double then its centripetal force to keep the same speed should be

$\;F = \frac{{m{v^2}}}{r}$. For same mass and same speed if radius is doubled then force should be halved.