A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decrease
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))` `therefore v prop sqrt((1)/(r))` (If r decreses then v increase)
Percentage change in `v=(1)/(2)` ( percentage change in r) = `=(1)/(2)` (1%)= 0.5%
`therefore` Orbital velocity increase by 0.5%