A string of length L is clamped at each end and vibrates in a standing wave pattern.The wavelengths of the constituent traveling waves CANNOT be:
A)L
B)2L
C)L/2
D)2L/3
E)4L

Question

Quizplus · Accepted Answer

For a standing wave on a string clamped at both ends, the wavelength can only be an integer multiple of half the length of the string. Therefore, choices A, B, C, and D are all possible wavelengths. However, 4L is not a possible wavelength since it is not an integer multiple of L/2.

A String of Length L Is Clamped at Each End