Two particles of equal mass $'m'$ go around a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle with respect to their centre of mass is
$\sqrt {\frac{{Gm}}{R}} $
$\sqrt {\frac{{Gm}}{{4R}}} $
$\sqrt {\frac{{Gm}}{{3R}}} $
$\sqrt {\frac{{Gm}}{{2R}}} $
If the gravitational potential on the surface of earth is $V_0$, then potential at a point at height half of the radius of earth is ..........
The variation of acceleration due to gravity $ ( g )$ with distance $(r)$ from the center of the earth is correctly represented by ... (Given $R =$ radius of earth)
According to Kepler’s law the time period of a satellite varies with its radius as
The orbit of geostationary satellite is circular, the time period of satellite depends on $(i)$ mass of the satellite $(ii)$ mass of the earth $(iii)$ radius of the orbit $(iv)$ height of the satellite from the surface of the earth
In a certain region of space, the gravitational field is given by $-k/r$ , where $r$ is the distance and $k$ is a constant. If the gravitational potential at $r = r_0$ be $V_0$ , then what is the expression for the gravitational potential $(V)$ ?