Given equation 12mv2=mgh,  where m is the mass of the body, v is velocity, g is the acceleration due to gravity and h is the height. Then the given equation is

Given, 12mv2=mghThe dimensions of LHS are[M][LT−1]2=[M]=[L2T−2]=[ML2T−2]The dimensions of RHS are[M][LT−2][L]=[M][L2T−2]=[ML2T−2]The dimensions of LHS and RHS are the same and hence the equation is dimensionally correct.