- Home
- Standard 11
- Physics
7.Gravitation
medium
The mass of the moon is $(1/8)$ of the earth but the gravitational pull is $(1/6)$ of the earth. It is due to the fact that.
A
moon is the satellite of the earth
B
the radius of the earth is $(8/6)$ of the moon
C
the radius of the earth is $\left( {\sqrt {8/6} } \right)$ of the moon
D
the radius of the moon is $(6/8)$ of the earth
Solution
$\frac{\mathrm{g}_{\mathrm{m}}}{\mathrm{g}_{\mathrm{e}}}=\frac{\frac{\mathrm{G}(\mathrm{Me} / 8)}{\mathrm{R}_{\mathrm{M}}^{2}}}{\frac{\mathrm{GMe}}{\mathrm{R}_{\mathrm{e}}^{2}}}=\frac{\mathrm{R}_{\mathrm{e}}^{2}}{\mathrm{8R}_{\mathrm{M}}^{2}}=\frac{1}{6} \Rightarrow \mathrm{R}_{\mathrm{e}}=\sqrt{\frac{8}{6} \mathrm{R}_{\mathrm{M}}}$
Standard 11
Physics
