A satellite going around the earth suddenly loses height and starts moving in an orbit of smaller radius. Then its periodic time

Options

A. will not changed
B. is increased
C. is decreased
D. may increase or decrease

Answer

C

Explanation

The period of a satellite is given by
`T = 2pi sqrt(((R+h)^(3))/(GM))`
i.e. `T prop sqrt((R+h)^(3)) or T prop sqrt(r^(3))` where `r = R+h`
`therefore` If r is decreased, T is also decreased.