The time period of a satellite of earth is $24$ hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become $.......\,hours$
$4$
$6$
$12$
$3$
Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e. $F \propto {1\over r^3}$, but still remaining a central force. Then
Kepler's second law (law of areas) is nothing but a statement of
Two planets $A$ and $B$ of equal mass are having their period of revolutions $T_{A}$ and $T_{B}$ such that $T_{A}=2 T_{B}$. These planets are revolving in the circular orbits of radii $I_{A}$ and $I_{B}$ respectively. Which out of the following would be the correct relationship of their orbits?
Two heavenly bodies ${S_1}$ and ${S_2}$, not far off from each other are seen to revolve in orbits
A planet has orbital radius twice as the earth's orbital radius then the time period of planet is .......... $years$