Q. 37

Expert-verifiedFound in: Page 484

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A string vibrates at its third-harmonic frequency. The amplitude at a point 30 cm from one end is half the maximum amplitude. How long is the string?

The length of the string is 5.40 m

Third-harmonic frequency, n= 3The amplitude of the wave at x=30cm is A_{max}/2

The general expression of the amplitude of the wave at any distance x

According to the question Since it is three harmonic vibrations, there would be three loops with the length λ/2. Therefore, the total length of the string is given by Thus the length of the string is 5.40 m

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