4. Draw the standing wave that corresponds to the 3rd lowestfrequency in a pipe that is closed at one end and open on theother.

Answered: Draw the standing wave that corresponds…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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4. Draw the standing wave that corresponds to the 3rd lowest
frequency in a pipe that is closed at one end and open on the
other.

Expert Solution

Step 1

A standing wave consists of an pattern of nodes and antinodes.

Antinodes are points on a stationary wave that oscillate with maximum amplitude. Nodes are points of zero amplitude and zero displacement hence appear to be fixed.

The standing waves produced have an anti-node at the open end and a node at the closed end. The frequencies that produce standing waves in such a pipe are

$f_{n} = \frac{n ν}{4 L}$

where n= odd integer

L= effective length of the pipe

v= speed of sound

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