From the dimensional consideration, which of the following equations is correct? (Here T=time period, R=radius, M=mass and G=gravitational constant)

Question

From the dimensional consideration, which of the following equations is correct? (Here $T =$ time period, $R =$ radius, $M =$ mass and $G =$ gravitational constant)

T = 2 π \sqrt{\frac{R^{3}}{G M}}

T = π \sqrt{\frac{G M}{R^{3}}}

T = 2 π \sqrt{\frac{G M}{R^{2}}}

T = 2 π \sqrt{\frac{R^{2}}{G M}}

Solution

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