When a string is divided into three segments of
lengths `l_(1),l_(2) and l_(3)` the fundamental frequencies of
these three segments are `v_(1), v_(2) and v_(3)` respectively.
The original fundamental frequency (v) of the string is

Options

A. `sqrt(v)=sqrt(v_(1))+sqrt(v_(2))+sqrt(v_(3))`
B. `v=v_(1)+v_(2)+v_(3)`
C. `(1)/(v)=(1)/(v_(1))+(1)/(v_(2))+(1)/(v_(3))`
D. `(1)/(sqrt(v))=(1)/(sqrt(v_(1)))+(1)/(sqrt(v_(2)))+(1)/(sqrt(v_(3)))`

Answer

C