Embibe Experts Solutions for Chapter: Gravitation, Exercise 1: AP EAPCET 2021 (19-Aug Afternoon)

The acceleration due to gravity at a height ${\left(\frac{1}{20}\right)}^{th}$ of the radius of earth above the earth's surface is $9 \mathrm{m} {\mathrm{s}}^{-2}$. Its value at an equal depth below the surface of earth is

The distance through which one has to dig the earth from its surface so as to reach the point where the acceleration due to gravity is reduced by $40\%$ of that at the surface of the earth, is (radius of earth is $6400 \mathrm{km}$)

At what depth below surface of the earth, the acceleration due to gravity will be half its value of that at $1600 \mathrm{km}$ above the surface of the earth?

If the earth stops rotating in its orbit about the sun, there will be variation in the weight of our bodies at

A geostationary satellite is taken to a new orbit such that its distance from centre of the earth is doubled. Then find the time period of this satellite in the new orbit.

Infinite number of masses each of $3 \mathrm{kg}$ are placed along a straight line at the distances of $1 \mathrm{m}$, $2 \mathrm{m},4 \mathrm{m},8 \mathrm{m},\dots \dots$ from a point $0$ on the same line. If $\mathrm{G}$ is the universal gravitational constant, then the magnitude of gravitational field intensity at $0$ is

The gravity potential energy is maximum at

An artificial satellite of mass $m$ is moving along an elliptical path around the earth. The areal velocity of the satellite is proportional to