A satellite is launched into a circular orbit of radius `R` around the earth. While a second is lunched into an orbit of radius `1.01R` The period of the second satellite is longer than the first one by approximately:

Options

A. `0.5%`
B. `1.0%`
C. `1.5%`
D. `3.0%`

Answer

C

Explanation

`(T_(2))/(T_(1))=((1.01 R)/R)^(3//2)=(1+0.01)^(1.5)=1+1.5xx0.01`
`=1+0.015`
`((T_(2))/(T_(1))-1)xx100=1.5%`