Using the principle of homogeneity of dimensions, check the dimensional consistency of the equation.
T² = 4 π²R³÷GM
where, T is time period , G is gravitational constant, M is mass and r is orbital radius.
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Answer:
[T^2]=[L^3]/[M^-1L^3 T^-2][M]
[L^3][L^3T^-2]
[T^2]=[L^3L^-3T^2]
[T^2]=[T^2]
LHS=RHS
eqn is dimensionally correct
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