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Q.

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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a

a3/2

b

b3/2

c

(a+b)3/2

d

(a−b)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. T2∝a+b23. So the correct choice is (c).
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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