If the earth were to cease rotating about its own axis. The increase in the value of $g$ in $C.G.S.$ system at a place of latitude of $45^o$ will be ........  $cm/sec^{2}$.

Two planets $A$ and $B$ have same mass and radii $(R)$ . The variation of density of the planets with distance from centre is shown in the following diagrams. The ratio of acceleration due to gravity at the surface of the planets $A$ and $B$ will be

Find the gravitational field at a distance of $2000\, km$ from centre of earth. (in $m / s ^{2}$)

(Given $\left.R_{\text {earth }}=6400 km , r =2000 km , M _{\text {earth }}=6 \times 10^{24} kg \right)$

At  ..... $km$ height from the surface of earth the gravitation potential and the value of $g$ are  $-5.4 \times 10^7\, J kg^{-1}$ and $6.0\,m s^{-2}$ respectively . Take the radius of earth as $6400\, km$.

A person will get more quantity of matter in $kg -wt$ at

A body weighs $700 \,gm$ wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is $\frac{1}{7}$ and radius is half that of the earth ........ $gm\, wt$