Show dimensionmally that the expression , `T = (MgL)/(pi r^(2)` is dimensiomally current , where T is Young 's modulas of the length of the wire ,Mg is the weight applied in the wire and L is the increase in the length of the wire .

Explanation

`[T] = [ML^(-1) T^(-2)] `
`[(MgL)/(pi r ^(2))] = [[MLT^(-2)L)/(L^(2)L)]`
` = [ML^(-1) T^(-2)] `
Dimension of KHS and LHS are same . Therefore. The given equation is dimensionally correct.