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Kepler's Law

If a body des...

Question

If a body describes a circular motion under inverse square field, the time taken to complete one revolution, T is related to the radius of the circular orbit as

A

$T \propto r$

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B

$T \propto r^{2}$

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C

$T^{2} \propto r^{3}$

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D

$T \propto r^{4}$

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Solution

The correct option is C
$T^{2} \propto r^{3}$

DIrectly from the statement of Kepler's Law of Periods

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