Question

fill in the blank question
if a string is attached at both ends and the longest possible standing wave forms, its
wavelength will be the length of the string. this standing wave
occurs at the fundamental frequency, the lowest possible frequency for a standing wave on
this string.
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Explanation:

Step1: Analyze the standing wave pattern

For a string fixed at both ends, the fundamental mode (longest - possible standing wave) has \(L=\frac{\lambda}{2}\), where \(L\) is the length of the string and \(\lambda\) is the wavelength.

Step2: Solve for the relationship between \(\lambda\) and \(L\)

From \(L = \frac{\lambda}{2}\), we can rewrite it as \(\lambda=2L\).

Answer:

twice