Mass density of a solid sphere is $\rho $ . Radius of the sphere is $R$. The gravitational field at a distance $r$ from the centre of the sphere inside it is
$\frac{{4\rho G\pi r}}{3}$
$\frac{{4\rho G{r^2}}}{3}$
$\frac{{4\rho G{R^3}}}{{3{r^2}}}$
$\frac{{\rho G{R^3}}}{{\pi r}}$
Radius of earth is around $6000\, km$. The weight of body at height of $6000 \,km$ from earth surface becomes
At what distance from the centre of the earth, the value of acceleration due to gravity $g$ will be half that on the surface ($R =$ radius of earth)
Spot the wrong statement :The acceleration due to gravity $‘g’$ decreases if
The diameters of two planets are in ratio $4:1$ . Their mean densities have ratio $1:2$ . The ratio of gravitational acceleration on the surface of planets will be
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