B M Sharma Solutions for Chapter: Gravitation, Exercise 4: DPP 6.4

Two artificial satellites of same mass are moving around the Earth in circular orbits of different radii. In comparison to the satellite with lesser orbital radius, the other satellite with higher orbital radius will have

A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is $2$ times that of the earlier orbit. The time period in the second orbit is

Two satellites $A$ and $B$ go round a planet $P$ in circular orbits having radii $4R$ and $R$, respectively. If the speed of the satellite $A$ is $3V$, the speed of the satellite $B$ will be

Orbital velocity of earth's satellite near the surface is $7\mathrm{ }\mathrm{km} {\mathrm{s}}^{-1}$. When the radius of the orbit is $4$ times than that of the earth's radius, then the orbital velocity in that orbit is

The orbital speed of an artificial satellite very close to the surface of the earth is $V_o$. Then, the orbital speed of another artificial satellite at a height equal to three times the radius of the earth is

A satellite moves round the earth in a circular orbit of radius $R$ making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in $8$ days. The radius of the orbit of the second satellite is
 

The mean radius of the earth is $R$, its angular speed on its own axis is $\text{ω}$ and the acceleration due to gravity at the earth's surface is $g$. The cube of the radius of the orbit of a geostationary satellite will be
 

 Given: radius of Earth $\text{'}R\text{'}$ and length of a day $\text{'}T\text{'}$, the height of a geostationary satellite is [$G=$Gravitational constant, $M=$Mass of earth]