A planet moving along an elliptical orbit is closest to the sun at a distance $r_1$ and farthest away at a distance of $r_2$. If $v_1$ and $v_2$ are the linear velocities at these points respectively, then the ratio $\frac{v_1}{v_2}$ is
A planet moving along an elliptical orbit is closest to the sun at a distance $r_1$ and farthest away at a distance of $r_2$. If $v_1$ and $v_2$ are the linear velocities at these points respectively, then the ratio $\frac{v_1}{v_2}$ is
- [AIPMT 2011]
- A
$\frac{r_2}{r_1}$
- B
$\left(\frac{r_2}{r_1}\right)^2$
- C
$\frac{r_1}{r_2}$
- D
$\left(\frac{r_1}{r_2}\right)^2$
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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]