Q. 60

Expert-verifiedFound in: Page 486

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Analyze the standing sound waves in an open-closed tube to show that the possible wavelengths and frequencies are given by Equation 17.18.

The conditions of having one node and one antinode at the end the formulas that one could get are,

Node is a point which's amplitude is 0. The point in which amplitude is maximum is known as antinodes.

In an open-closed tube, the presence of node and antinode is a must. so, the possible arrangements can reach to

Thus the outcome is

Here m= 1, 3, 5 and the arrangements will be

In order to make the connection with frequency, the wave has speed v and wavelength and the frequency could be found as

The substitution of the wavelength is

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