Practicing Success
If E, M, J and G denote energy , mass , angular momentum and gravitational constant then $\frac{EJ^2}{M^5G^2}$ has the dimensions of – |
Length Angle Mass Time |
Angle |
[E] = $[ML^2T^{-2}], [J] = [ML^2T^{-1}], [G] = [M^{-1}L^3T^{-2}]$ Dimension of $\frac{EJ^2}{M^5G^2} = \frac{[ML^2T^{-2}][ML^2T^{-1}]^2}{[M^5][M^{-1}L^3T^{-2}]^2} = [M^0L^0T^0]$ |