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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Each of the following questions is related to standing waves in air columns. Choose the words that make each statement correct. (i) For a pipe open at both ends, the harmonic number is equal to the number of [(a) nodes; (b) antinodes]. (ii) The distance from a node to its adjacent antinode is always equal to a [(c) quarter; (d) half] wavelength. (iii) For a pipe closed at one end, the wavelength of the fundamental harmonic equals [(e) two; (f) four] times the pipe length.

(i)

To determine
For a pipe open at both ends the harmonic number is equal to the number of nodes or anti nodes.

Explanation

Given Info: Standing waves on a pipe open at both ends.

The figure below shows the standing wave on a pipe open at both ends.

From the above figures, for the first harmonic, there is node and two antinodes, the pattern is ANNAN , N represents node and AN  represent antinode

(ii)

To determine
The distance from a node to its adjacent antinode in both end open pipe.

(iii)

To determine
The relation between the wavelength and the pipe length of the fundamental harmonic of a pipe closed at one end.

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