Acceleration due to gravity on moon is $\frac 16$ of the acceleration due to gravity on earth. If the ratio of densities of earth $({\rho _e})$ and moon $({\rho _m})$ is $\left( {\frac{{{\rho _e}}}{{{\rho _m}}}} \right) = \frac{5}{3}$ then radius of moon $R_m$ in terms of $R_e$ will be

At what height from the ground will the value of $‘g’ $ be the same as that in $10 \,km$ deep mine below the surface of earth ……… $km$

The height at which the acceleration due to gravity becomes $\frac{g}{9}$ (where $g$ = the acceleration due to gravity on the surface of the earth) in terms of $R$, the radius of the earth, is

Weight of a body decreases by $1.5 \%$, when it is raised to a height $h$ above the surface of earth. When the same body is taken to same depth $h$ in a mine, its weight will show ……..

A body welghs $200 \;\mathrm{N}$ on the surface of the earth. ……$N$ will it weigh half way down to the centre of the earth?