If `n_(1), n_(2 ) "and" n_(3)` are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by

Options

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

Answer

B

Explanation

`n prop (1)/(l)`, `l=l_(1)+l_(2)+l_(3)`,`(1)/(n)=(1)/(n_(1))+(1)/(n_(2))+(1)/(n_(3))`