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Satellites

When a planet...

Question

When a planet orbiting around the sun an elliptical orbit R1 and R2 are the closest and farthest distance from the sun Then the ratio of the magnitudes of maximum and minimum gravitational forces between them is

A.r1:r2

B.r2:r1

C.r1^2:r2^2

D.r2^2:r1^2

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Solution

gravitational force F=GM1M2/r^2
the qustion given
F max=GM1M2/R1^2
F min=GM1M2/R2^2

then Fmax/Fmin=R2^2/R1^2
so option D is correct

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