If `f_1, f_2 and f_3` are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency `f_0` of the whole string is

Options

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

Answer

A

Explanation

`l = (1//2n) sqrt(T//m), l = l_(1) + l_(2) + l_(3)`
`(1//n) = (1//n_(1)) + (1//n_(2)) + (1//n_(3))`