A satellite moves in a circular orbit with speed and period

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A satellite moves in a circular orbit with speed

v

and period

T

. If its orbital radius is suddenly made twice the original value, which pair correctly shows the new speed and the new period? (a) Speed becomes

\dfrac{v}{\sqrt{2}}

and period becomes

2\sqrt{2}\,T

(b) Speed becomes

\sqrt{2}\,v

and period becomes

\sqrt{2}\,T

\dfrac{v}{2}

and period becomes

4\,T

(d) Speed becomes

\dfrac{v}{\sqrt{2}}

and period becomes

4\,T