The wavelengths corresponding to the harmonics of a string with fixed ends can be found by saying that the length of the string must be equal to
A) an odd number of quarter-wavelengths.
B) an odd number of third-wavelengths.
C) an odd number of half-wavelengths.
D) an integer number of half-wavelengths.
E) an integer number of wavelengths.

Question

Quizplus · Accepted Answer

The fixed ends of the string create nodes where the amplitude of vibration is zero. This means the wave must have an antinode at both ends, which can only occur if the length of the string is an integer multiple of half-wavelengths. Therefore, the correct choice is D) an integer number of half-wavelengths.

The Wavelengths Corresponding to the Harmonics of a String with Fixed