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From dimensional consideration which of the following equations is correct?

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T= 2 $π$ $\sqrt{R^{3} / GM}$

T= 2 $π$ $\sqrt{GM / R^{3}}$

T= 2 $π$ $\sqrt{GM / R^{2}}$

T= 2 $π$ $\sqrt{R^{2} / GM}$

answer is A.

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Detailed Solution

$\sqrt{\frac{R^{3}}{G M}} = \sqrt{\frac{m R}{F}} = [T]$

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