Give the value of acceleration due to gravity at height $12\, km$ from the surface of earth.

The weight of a body at the surface of earth is $18\,N$. The weight of the body at an altitude of $3200\,km$ above the earth's surface is $........\,N$ (given, radius of earth $R _{ e }=6400\,km$ )

Consider two spherical planets of same average density. Second planet is $8$ times as massive as first planet. The ratio of the acceleration due to gravity of the second planet to that of the first planet is

Given below are two statements:

Statement $I:$ Rotation of the earth shows effect on the value of acceleration due to gravity $(g)$.

Statement $II:$ The effect of rotation of the earth on the value of $g$ at the equator is minimum and that at the pole is maximum.

In the light of the above statements, choose the correct answer from the options given below.

An object is taken to a height above the surface of earth at a distance $\frac{5}{4} R$ from the centre of the earth. Where radius of earth, $R=6400\,km$. The percentage decrease in the weight of the object will be $....\%$

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.