In a satellite if the time of revolution is $T$, then $K.E.$ is proportional to
$\frac{1}{T}$
$\frac{1}{T^2}$
$\frac{1}{T^3}$
$T^{-2/3}$
An object is taken to height $2 R$ above the surface of earth, the increase in potential energy is $[R$ is radius of earth]
Figure shows the variation of the gravitatioal acceleration $a_g$ of four planets with the radial distance $r$ from the centre ofthe planet for $r \ge $ radius of the planet. Plots $1$ and $2$ coincide for $r \ge {R_2}$ and plots $3$ and $4$ coincide for $r \ge {R_4}$ . The sequence of the planets in the descending order of their densities is
The period of a satellite, in a circular orbit near an equatorial plane, will not depend on
If the gravitational acceleration at surface of Earth is $g$ , then increase in potential energy in lifting an object of mass $m$ to a height equal to half of radius of earth from surface will be
If an artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of the escape velocity from the earth, the height of the satellite above the surface of the earth is