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  4. Dimension of kepler's constant in equation T 2= KR 3 where k is kepler constant.

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Q. Dimension of kepler's constant in equation $T ^{2}=$ $KR ^{3}$ where $k$ is kepler constant.

Physical World, Units and Measurements

Solution:

$T^{2}=K R^{3}$
$\frac{T^{2}}{L^{3}}=k$
$\Gamma{K}=T^{2} \,L^{-3}$