Question

multiple choice question
a string attached at both ends will have one frequency that can produce the longest possible standing wave in it, this frequency is the lowest possible frequency and is called the _ frequency
o fundamental
o doppler
o overtone
o standing

Explanation:

• Fundamental frequency: For a string fixed at both ends, the fundamental frequency corresponds to the lowest - frequency standing wave. The wavelength of the fundamental frequency is \( \lambda = 2L \) (where \( L \) is the length of the string), which is the longest possible wavelength for standing waves on a fixed - fixed string.
• Doppler: The Doppler effect is related to the change in frequency of a wave due to the relative motion between the source of the wave and the observer. It has nothing to do with the lowest - frequency standing wave on a string.
• Overtone: Overtones are higher - frequency standing waves on a string. For example, the first overtone (second harmonic) has a frequency twice that of the fundamental frequency and a shorter wavelength (\( \lambda = L \)).
• Standing: “Standing” is a general term for the type of wave (standing wave), not a specific frequency.

Answer:

fundamental