Question

An instrument based on a tube closed at one end produces a musical note with a frequency of 588 Hz. You know that there are two nodes somewhere in the tube. What is the fundamental frequency?

Answer 1

The fundamental frequency is 196 Hz.

Step-by-step explanation:

Given that,

Frequency = 588 Hz

We need to calculate the fundamental frequency

Using formula of fundamental frequency

We know that, two nodes means third harmonic

`f_(3)=3f_(1)`

`f_(1) =(f_(3))/(3)`

Where,
`f_(1)` = fundamental frequency

Put the value into the formula

`f_(1)=(588)/(3)`

`f_(1)=196\ Hz`

Hence, The fundamental frequency is 196 Hz.