Embibe Experts Solutions for Chapter: Gravitation, Exercise 1: TS EAMCET - 5 August 2021 Shift 1

Four identical masses of $m$ are kept at corners of a square. If the gravitational force exerted on one of masses by the other masses is $\left(\frac{2\sqrt{2}+1}{32}\right)\frac{G{m}^2}{{ L}^2},$ then the length of the side of the square is

A point mass $\text{'}m\text{'}$ is located at a distance $r$ from a uniform thin rod of mass $M$ and length $L$ as shown in the figure. The magnitude of gravitational force of attraction is

The ratio of the height above the surface of earth to the depth below the surface of earth, for gravitational accelerations to be the same (assuming small heights), is

What is the change in mass of a body, when taken $64 \mathrm{km}$ below the surface of the earth? [Take radius of the earth as $6400 \mathrm{km}$]

A planet is revolving around the sun in which of the following is correct statement?

If a satellite has to orbit the earth in a circular path every $6\mathrm{hrs}$, at what distance from the surface of the earth should the satellite be placed (radius of earth $=6400 \mathrm{km}$ )
(Assume $\frac{\mathrm{GM}}{4{\mathrm{\pi }}^2}=8\times {10}^{12}{\mathrm{Nm}}^2 {\mathrm{kg}}^{-1},$, where $\mathrm{G}$ and $\mathrm{M}$ are gravitational constant and mass of earth and ${10}^{1/3}=2.1$ )

Two stars of equal masses $M$ are orbiting in a circle of radius $R.$ Their orbital time period is proportional to

A planet is moving in a circular orbit. It completes $2$ revolutions in $360 \mathrm{days}$. What is its angular frequency?