If `f_(1) and f_(2)` be the fundamental frequencies of the two segments into which a stretched string is divided by means of a bridge , then find the original fundamental frequency `f` of the complete string.

Explanation

`f_(1) = (k)/( l_(1)) and f_(2) = (k)/( l_(2))`
`:. F = (k)/((l_(1) + l_(2))) rArr l_(1) + l_(2) = (k)/(f)`
`rArr (k)/(f_(1)) + (k)/( f_(2)) = (k)/( f) or , (1)/(f) = (1)/(f_(1)) + (1)/(f_(2))`