Embibe Experts Solutions for Chapter: Gravitation, Exercise 1: CG PET 2017

If $g$ is the acceleration due to gravity on the surface of the earth, then its value at a height equal to double of the radius of the earth will be

The radius of Earth is $R$ and $g$ is the acceleration due to gravity on its surface. What should be the angular speed of the Earth so that bodies lying on the equator may appear weightess?

What wil be the effect on the weight of a body placed on the surface of earth, if earth suddenly starts rotating with half of its angular velocity of rotation?

Two bodies of masses $m$ and $4 \text{m}$ are placed at a distance $r$. The gravitational potential at a point on the line joining them, where the gravitational field is zero, is

A satellite is launched into a circular orbit of radius $R$ around the earth. A second satellite is launched into an orbit of radius $1.02 \mathrm{R}$. The period of the second satellite is larger than that of the first one by approximately.

If the radius of the earth shrinks by $0.2\%$ without any change in the mass, escape velocity from the surface of earth is