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Chapter 17: Q. 51 (page 485)

An open-open organ pipe is 78.0 cm long. An open-closed pipe has a fundamental frequency equal to the third harmonic of the open-open pipe. How long is the open-closed pipe?

Short Answer

Expert verified

The open-close pipe is 13.0 cm long.

Step by step solution

01

The concept of frequency 

In physics, the term 'frequency' refers to the wave that moves from one fixed point to another fixed point.

02

The frequency of the open-closed tube with the equation 

The frequency of the open-closed tube is f=v4L

The third harmonic of the tube is f=3v2L0

The expression of the length or L is3v2L0=v4L⇒L=16L0L=786=13cm

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