A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by `1%` its speed will

Options

A. Increase by `1%`
B. Increase by `0.5 %`
C. Decrease by `1%`
D. Decrease by `0 . 5%`

Answer

B

Explanation

Orbital velocity `v=sqrt((GM)/(r))" ":.v propsqrt(l/r)" "` (If r decreases then v increase)
Percentage change in `v=1/2" "`(Percentage change in r) `=1/2(1%)=0.5%`
`:.` Orbital velocity increase by `0.5%`