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  • A planet moving along an elliptical orbit is closest to the Sun at a distance r1 and farthest away at a distance of

A planet moving along an elliptical orbit is closest to the Sun at a distance r1 and farthest away at a distance of r2. If v1 and v2 are the linear velocities at these points respectively, then the ratio \frac{\text{v}_{1}}{\text{v}_{2}} is:

Option: 1

r1/r2


Option: 2

(r1/r2)2


Option: 3

r2/r1


Option: 4

(r2/r1)2


Answers (1)

best_answer

As we learnt in 

Angular momentum of satellite -

L=mvr

L=sqrt{m^{2}GMr}

L= Angular momentum

m ightarrow mass of satellite

- wherein

v depends on both the masses , mass of centre of body and mass of planet as well as radius of earth.

 

 According to conservation of Angular momentum

L_{1}=L_{2}

mv_{1}r_{1}=mv_{2}r_{2}

v_{1}r_{1}=v_{2}r_{2}

\frac{v_{1}}{v_{2}}=\frac{r_{2}}{r_{1}}

Posted by

vinayak

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