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Let us consider an equation (1)/(2)mue...

Let us consider an equation
`(1)/(2)muepsilon^2 = mgh,`
Where m is the mass of the body, `upsilon` its velocity, g is acceleration due to gravity and h is the height. Check whether this equation is dimensionally correct.

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`L.H.S. =(1)/(2)m upsilon^2 = M(LT^(-1))^2`
`= [M^1 L^2T^(-2)]`
`R.H.S. = mgh = M(LT^(-2))(L) = [M^1 L^2 T^(-2)]`
As L.H.S. = R.H.s., dimensionally,
The equation is dimensionally correct.
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