A string is cut into three parts, having fundamental frequencies `n_(1), n_(2)` and `n_(3)` respectively, Then original fundamental frequency 'n' related by the expression as:

Options

A. `(1)/(n) = (1)/(n_(1)) + (1)/(n_(2)) + (1)/(n_(3))`
B. `n = n_(1) + n_(2) + xx n_(3)`
C. `n = n_(1) + n_(2) + n_(3)`
D. `n = (n_(1) + n_(2) + n_(3))/(3)`

Answer

A

Explanation

`l = l_(1) + l_(2) + l_(3)`
`(k)/(n) = (k)/(n_(1)) + (k)/(n_(2)) + (k)/(n_(3))`
`implies (1)/(n) = (1)/(n_(1)) + (1)/(n_(2)) + (1)/(n_(3))`