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7.Gravitation
medium
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
A
$\frac{{4\rho G\pi r}}{3}$
B
$\frac{{4\rho G{r^2}}}{3}$
C
$\frac{{4\rho G{R^3}}}{{3{r^2}}}$
D
$\frac{{\rho G{R^3}}}{{\pi r}}$
Solution
$\mathrm{g}=\frac{\mathrm{GMr}}{\mathrm{R}^{3}}=\frac{\mathrm{G} 4 \pi \mathrm{R}^{3} \mathrm{pr}}{3 \mathrm{R}^{3}}=\frac{4 \pi \mathrm{G} \rho \mathrm{r}}{3}$
Standard 11
Physics
