What will be the formula for the mass of the Earth in terms of $g$,$R$,and $G$?

The time period of a simple pendulum is $T_1$ when on the Earth's surface and $T_2$ when taken to a height $h = 2R$ above the Earth's surface, where $R$ is the radius of the Earth. The ratio $T_1 : T_2$ is:

Identify the incorrect statement. The acceleration due to gravity $g$ decreases if:

Give the value of acceleration due to gravity at height $12\, km$ from the surface of earth. (in $, m/s^2$)

Where will it be profitable to purchase $1$ kilogram of sugar?

$g_e$ and $g_p$ denote the acceleration due to gravity on the surface of the Earth and another planet whose mass and radius are twice that of the Earth. Then: