From the dimensional consideration, which of the following equations is correct?

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T=2πR3GM

T=2πGMR3

T=2πGMR2

T=2πR2GM

answer is A.

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Detailed Solution

Taking, T=2πR3GMSubstituting the dimensions, LHS = T = [T].RHS=2πR3GM=[L]3M-1 L3 T-2[M]=[T]2=[T] Thus, LHS= RHS for T=2πR3GM.

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