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Q.

A comet is moving in a highly elliptical orbit round the sun. When it is closest to the sun, its distance from the sun is r and its speed is v. When it is farthest from the sun, its distance from the sun is R and its speed will be

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a

vrR1/2

b

vrR

c

vrR3/2

d

vrR2

answer is B.

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Detailed Solution

The angular momentum of the planet is constant over the entire orbit. Hence mvr = mVR or V=vrR, which is choice (b).

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A comet is moving in a highly elliptical orbit round the sun. When it is closest to the sun, its distance from the sun is r and its speed is v. When it is farthest from the sun, its distance from the sun is R and its speed will be