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Question

# A planet is revolving in an elliptical orbit around the sun as shown in figure.The areal velocity (area swapped by the radius vector with respect to sun in unit time) is :

A
14(r1+r2)v1
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B
12r2v2
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C
12v1r12r2
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D
dependent on the position of planet from sun
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Solution

## The correct option is B 12r2v2Kepler's law of periods says that the area swept by a planet for a certain time interval is constant.i.e dAdt=L2m; where L is the angular momentum and is constant.Therefore, dAdt is constant.dAdt=L2m=mv2r22m=12v2r2

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