Question

prove the following equation is dimensionally correct

1\f = 1/p + 1/q​

Answer 1

Explanation:

1 /f = 1 /p + 1 /q

• The following equation is dimensionally correct because only physical quantities of same dimension can be added together i.e.

        Dimension of 1 /p and 1 /q are same.

• Two physical quantities of same dimension when added together gives a physical quantity with the same dimension as that of the added quantities i.e

        Dimensions of 1 /p, 1 /q and 1 /f are the same.