# A comet of mass  moves in a highly elliptical orbit around the sun of mass . The maximum and minimum distances of the comet from the centre of the sun are  and  respectively. The magnitude of angular momentum of the comet with respect to the centre of sun is a) b) c) d)

## Question ID - 54901 :- A comet of mass  moves in a highly elliptical orbit around the sun of mass . The maximum and minimum distances of the comet from the centre of the sun are  and  respectively. The magnitude of angular momentum of the comet with respect to the centre of sun is a) b) c) d)

3537

(d)

The gravitational force of sun on comet is radial, hence angular momentum is constant over the entire orbit. Using law of conservation of angular momentum, at locations  and

or     …(i)

Using the principle of conservation of total energy at  and

or     …(ii)

Putting the values from Eq. (i) in Eq. (ii) and solving, we get

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