String with fixed ends can vibrate in several modes (harmonics). How does the length of a string relate to wavelengths of harmonics?
A)The length of a string contains an integer number of full wavelengths.
B)The length of a string contains an integer number of half wavelengths.
C)The length of a string contains only an odd number of full wavelengths.
D)The length of a string contains only an odd number of half wavelengths.

Question

Quizplus · Accepted Answer

The length of a string fixed at both ends can be divided into an integer number of half wavelengths for its harmonics. This is because each end of the string must be a node where the displacement is always zero, allowing for standing waves that are integer multiples of half wavelengths.

String with Fixed Ends Can Vibrate in Several Modes (Harmonics)