The period of revolution of a certain planet in an orbit of radius R is T. Its period of revolution in an orbit of radius 4R will be?

Question

The period of revolution of a certain planet in an orbit of
radius R is T Its period of revolution in an orbit of radius 4R
will be?

Neha Gupta · Accepted Answer

According to the kepler's thrid law , relation between the radius of the orbit and time period of revolution is given by:T2 = kR3where k is the constant
when radius is 4 R , time period of revolution isT' = 4R32T' = 8R32T' = 8Ttime period becomes 8 times