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