The given relation,
1/2mv = mgh ......(1)
The dimensional formula of L.H.S.
= [M1L1T-1]
and the dimensional formula of R.H.S.
\(\begin{array}{l}{=\left[\mathrm{M}^{1} \cdot \mathrm{L}^{1} \mathrm{T}^{-2}\right]{L}^{1} \mathrm{J}} \\ {=\left[\mathrm{M}^{1} \mathrm{L}^{2} \mathrm{T}^{-2}\right]}\end{array}\)
Since the dimension of both the sides are not equal, therefore given relation is “incorrect”.
