The time period of an artificial satellite in a circular orbit of radius $R$ is $2\, days$ and its orbital velocity is $v_0$. If time period of another satellite in a circular orbit is $16 \,days$ then
The time period of an artificial satellite in a circular orbit of radius $R$ is $2\, days$ and its orbital velocity is $v_0$. If time period of another satellite in a circular orbit is $16 \,days$ then
- A
its radius of orbit is $4\,R$ and orbital velocity is $v_0$
- B
its radius of orbit is $4\,R$ and orbital velocity is $\frac{v_0}{2}$
- C
its radius of orbit is $2\,R$ and orbital velocity is $v_0$
- D
its radius of orbit is $2\,R$ and orbital velocity is $\frac{v_0}{2}$
Similar Questions
Every planet revolves around the sun in an elliptical orbit :
$A.$ The force acting on a planet is inversely proportional to square of distance from sun.
$B.$ Force acting on planet is inversely proportional to product of the masses of the planet and the sun
$C.$ The centripetal force acting on the planet is directed away from the sun.
$D.$ The square of time period of revolution of planet around sun is directly proportional to cube of semi-major axis of elliptical orbit.
Choose the correct answer from the options given below :
Every planet revolves around the sun in an elliptical orbit :
$A.$ The force acting on a planet is inversely proportional to square of distance from sun.
$B.$ Force acting on planet is inversely proportional to product of the masses of the planet and the sun
$C.$ The centripetal force acting on the planet is directed away from the sun.
$D.$ The square of time period of revolution of planet around sun is directly proportional to cube of semi-major axis of elliptical orbit.
Choose the correct answer from the options given below :
- [JEE MAIN 2023]
A star like the sun has several bodies moving around it at different distances. Consider that all of them are moving in circular orbits. Let $r$ be the distance of the body from the centre of the star and let its linear velocity be $v$, angular velocity $\omega $, kinetic energy $K $, gravitational potential energy $U$, total energy $E$ and angular momentum $l$. As the radius $r$ of the orbit increases, determine which of the abovequantities increase and which ones decrease.
A star like the sun has several bodies moving around it at different distances. Consider that all of them are moving in circular orbits. Let $r$ be the distance of the body from the centre of the star and let its linear velocity be $v$, angular velocity $\omega $, kinetic energy $K $, gravitational potential energy $U$, total energy $E$ and angular momentum $l$. As the radius $r$ of the orbit increases, determine which of the abovequantities increase and which ones decrease.
The orbital angular momentum of a satellite revolving at a distance $r$ from the centre is $L$. If the distance is increased to $16r$, then the new angular momentum will be
The orbital angular momentum of a satellite revolving at a distance $r$ from the centre is $L$. If the distance is increased to $16r$, then the new angular momentum will be
Two satellites of equal mass are revolving around earth in elliptical orbits of different semi-major axis. If their angular momenta about earth centre are in the ratio $3: 4$ then ratio of their areal velocity is ........
Two satellites of equal mass are revolving around earth in elliptical orbits of different semi-major axis. If their angular momenta about earth centre are in the ratio $3: 4$ then ratio of their areal velocity is ........
What is the direction of areal velocity of the earth around the sun ?
What is the direction of areal velocity of the earth around the sun ?