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A planet revolves around the sun is an elliptical orbit. The maximum and minimum distances of the planet from the sun are a and b respectively. The time period of revolution of the planet is proportional to

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$b^{3 / 2}$

$(a - b)^{3 / 2}$

$(a + b)^{3 / 2}$

$a^{3 / 2}$

answer is C.

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Detailed Solution

According to Kepler's law, the square of the time period is proportional to the cube of the semi-major axis of the ellipse, i.e. $T^{2} \propto {(\frac{a + b}{2})}^{3}$ . So the correct choice is (c).

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