Embibe Experts Solutions for Chapter: Gravitation, Exercise 1: Level 1

If the earth is supposed to be a sphere of radius $R$, if $g_{30°}$ is the value of acceleration due to gravity at a latitude of $30°$ and $g$ at the equator, the value of $g-g_{30°}$ is

Assuming, the earth to have a constant density, point out which of the following curves show the variation of acceleration due to gravity from the centre of the earth to the points far away from the surface of the earth

A person brings a mass of $1 \mathrm{kg}$ from infinity to a point $A$. Initially, the mass was at rest but it moves at a speed of $2 \mathrm{m} {\mathrm{s}}^{-1}$ as it reached $A$. The work done by the person on the mass is $-3 \mathrm{J}$. The potential at $A$ is

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

An earth satellite of mass $m$ revolves in a circular orbit at a height $h$ from the surface of the earth. $R$ is the radius of the earth and $g$ is the acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by

The time period of an earth satellite in circular orbit is independent of

The orbital angular momentum of a satellite revolving at a distance $r$ form the centre is $L$. If the distance is increased to $16 r$, then the new angular momentum will be

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