A string, clamped at its ends, vibrates in three segments. The string is 100 cm long. The wavelength is:
A) 33.3 cm
B) 66.7 cm
C) 150 cm
D) 300 cm
E) need to know the frequency

Question

Quizplus · Accepted Answer

The string is vibrating in three segments, which means there are two nodes (points of zero amplitude) and three antinodes (points of maximum amplitude). Each segment is a half-wavelength, so the total wavelength can be found by adding the three segments together:

wavelength = 2(segment length) = 2(100/3) = 66.7 cm. Thus the best choice is B.

A String, Clamped at Its Ends, Vibrates in Three Segments