Question

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

(a) 8T

(b) 4T

(c) 2√2T

(d) 27

Answer 1

Correct option is (a) 8T

As, we know that,

\(T^2 \propto R^3\)

Now,

\(\frac{T^2}{T_1^2} = (\frac R{4R})^3\)

\(= \frac 1{64}\)

\(T_1 = 8T\)