.......(i) where dimensions of the various given quantities are Dimensions of E=[ML2T−2] Dimensions of J=[ML2T−1] Dimension of M=[M] Dimension of G=[M−1L3T−2] Now, on putting these dimensions in Eq. (i), we have =
[ML2T−2][ML2T−1]2
[M5][M−1L3T−2]2
=
[M3L6T−2]
[M3L6T−2]
= dimensionless Since, angle is a dimensionless quantity