1.

To check the correctness of the relation : 1/2mv = mgh using the dimensional analysis.

Answer»

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”.



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