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JEE PHYSICS MCQ: GRAVITATION

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A planet is revolving round the sun in an elliptical orbit, If

\mathbf{v}

is the velocity of the planet when its position vector from the sun is

\mathbf{r}

, then areal velocity of the planet is

View answer and explanation

Correct option: C

\left|\frac{1}{2}(\mathbf{r} \times \mathbf{v})\right|

Option C (

\left|\frac{{1}}{{2}}(\mathbf{{r}} \times \mathbf{{v}})\right|

) is correct because the areal velocity is given by half the magnitude of the cross product of the position vector and the velocity vector.

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