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Question

Speed of a planet in an elliptical orbit with semi major axis 'a' about sun of mass M at a distance r from sun is



Solution

The correct option is A


Total energy of a planet in an ellipitcal orbit is:

E=GMm2a              (m = mass of planet)

From conservation  of mechanical energy

                         KE + PE = E

or         12mv2GMmr=GMm2a

or          v=GM(2r1a)

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