The mass of the moon is ${\left(1/8\right)}^{\mathrm{th}}$ of the earth but the gravitational pull is ${\left(1/6\right)}^{\mathrm{th}}$ of the earth. It is due to the fact that

In the reported figure of earth, the value of acceleration due to gravity is same at point $A$ and $C$ but it is smaller than that of its value at point $B$ (surface of the earth). The value of $OA:AB$ will be $x:5$. The value of $x$ is

Two satellites $P$ and $Q$ are moving in different circular orbits around the Earth(radius $R$). The heights of $P$ and $Q$ from the Earth surface are $h_P$ and $h_Q$, respectively, where $h_P=\frac{R}{3}$. The accelerations of $P$ and $Q$ due to Earth’s gravity are $g_P$ and $g_Q$, respectively. If $\frac{g_P}{g_Q}=\frac{36}{25}$, what is the value of $h_Q$?

A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing $W$ on earth will weigh on that planet:

A body weighs $900 \mathrm{gm}.$ wt on the surface of the earth. Its weight on the surface of a planet whose mass is $\frac{1}{8}$^th of that of the earth and radius is half that of the earth, is