Question

A satellite orbiting around earth in an orbit of radius $R$ is shifted to an orbit of radius $2R$. Times the time taken for one revolution will become.

• A. $8times$
• B. $2times$
• C. $2.5times$
• D. $2.8times$

Answer 1

The correct option is D $2.8times$

Using Kepler's law, $T^2\propto R^3$

Thus, $\frac{T_2^2}{T_1^2}=\frac{(2R{)}^3}{R^3}$

$⟹\frac{T_2}{T_1}=2\sqrt{2}$

$⟹T_2=2.8\times T_1$