A string, clamped at its ends, vibrates in three segments.The string is 100 cm long.The wavelength is:
A)33 cm
B)67 cm
C)150 cm
D)300 cm
E)need to know the frequency

Question

Quizplus · Accepted Answer

For a string clamped at its ends and vibrating in three segments, the wavelength is equal to twice the length of one segment. Since the length of the string is 100 cm and it is vibrating in three segments, the length of one segment is 100/3=33.33 cm. Therefore, the wavelength is 2*(33.33 cm) = 66.67 cm, which is best approximated by choice B) 67 cm.

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