Given that mass of the earth is $M$ and its radius is $R$. A body is dropped from a height equal to the radius of the earth above the surface of the earth. When it reaches the ground its velocity will be
$\left[ {\frac{{GM}}{R}} \right]$
${\left[ {\frac{{GM}}{R}} \right]^{1/2}}$
${\left[ {\frac{{2GM}}{R}} \right]^{1/2}}$
$\left[ {\frac{{2GM}}{R}} \right]$
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
Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the gravitational force of attraction between the planet and the star is proportional to $R^{-5/2}$, then,
The period of a satellite, in a circular orbit near an equatorial plane, will not depend on
A mass $m$ , travelling at speed $V_0$ in a straight line from far away is deflected when it passes near a black hole of mass $M$ which is at a perpendicular distance $R$ from the original line of flight. $a$ , the distance of closest approach between the mass and the black hole is given by the relation
What should be the angular speed of the earth, so that a body lying on the equator may appear weightlessness $(g = 10\,m/s^2, R = 6400\,km)$