Multiple Choice
The figure shows a standing wave on a string. What are the mode number and wavelength for this standing wave?
18. Waves & Sound
Standing Waves
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The figure below shows a standing wave on a 2.0-m-long string that has been fixed at both ends and tightened until the wave speed is 40 m/s. What is the frequency of this wave?
A
20 Hz
B
160 Hz
C
40 Hz
D
10 Hz
Verified step by step guidance1
Identify the number of loops or antinodes in the standing wave pattern shown in the image. Each loop corresponds to half a wavelength.
Count the number of loops in the image. In this case, there are 4 loops.
Calculate the wavelength (λ) using the formula: λ = (2 * Length of the string) / Number of loops. Here, the length of the string is 2.0 m.
Substitute the values into the formula: λ = (2 * 2.0 m) / 4.
Use the wave speed formula v = f * λ to find the frequency (f). Rearrange the formula to f = v / λ, where v is the wave speed (40 m/s). Substitute the values to find the frequency.
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