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Question

Kepler's second law regarding constancy of areal velocity of a planet is a consequence of the law of conservation of


A
Energy
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B
Angular momentum
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C
Linear momentum
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D
None of these
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Solution

The correct option is A Angular momentum
Areal velocity $$\dfrac{dA}{dt}$$ & angular momentum $${L}$$ of a planet are related by equation $$\displaystyle \dfrac{dA}{dt}=\frac {{L}}{2M}$$, where $$M$$ is the mass of planet. Since in planetary motion $$\bar{L}$$ is constant $$\displaystyle (\bar{\tau}_{ext.}=0)$$, hence $$\dfrac{dA}{dt}$$ is also constant.

Physics

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