Let us consider an equation mv2 = mgh where m = mass of the body. v = is its velocity, g is the
acceleration due to gravity and h is the height. Check whether this equation is dimensionally correct or
not.
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In order to compare the diamentions, the constant terms are ignored.
mu^2 = mgh
Substitute the units for both the quantities:
=> kg ( ms^-1) ^2 = kgms^-2m
Compare the diamentions:
[ML^2T^-2] = [ML^2T^-2]
Hence the equation is diamentionally correct
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