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
$\frac{{mgR}}{2}$
$\frac{{2mgR}}{3}$
$\frac{{mgR}}{4}$
$\frac{{mgR}}{3}$
A satellite is moving around the earth with speed $V$ in circular orbit of radius $r$ . If the orbital radius is decreased by $2\%$ , the speed of the satellite will
A satellite $S$ moves around a planet $P$ in an elliptical orbit as shown in figure. The ratio of the speed of the satellite at point $a$ to that at point $b$ is
The mean radius of earth is $R$, and its angular speed on its axis is $\omega$. What will be the radius of orbit of a geostationary satellite?
Which of the following graph represents the variations of acceleration due to gravity $(g)$ with distance $r$ from the centre of earth?
Radius of the earth is $R$. If a body is taken to a height $3R$ from the surface of the earth than change in potential energy will be