If the radius of earth's orbit is made `1//4`, the duration of an year will become :

Options

A. 4 times
B. 8 times
C. `1//4` times
D. `1//8` times.

Answer

D

Explanation

`(T_(2))/(T_(1))=((r_(2))/(r_(1)))^(3//2)=((R//4)/(R ))^(3//2)=(1)/(8)`
`rArr T_(2)=(T_(1))/(8)`.
Thus correct choice is (d).