The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become

Options

A. 10 hours
B. 80 hours
C. 40 hours
D. 20 hours

Answer

C

Explanation

`(T_(2))/(T_(1))=((r_(2))/(r_(1)))^(3//2)=((4r)/(r ))^(3//2)=8`
`therefore T_(2)=8T_(1)=8xx5=40` hours.
So correct choice is (c ).