A standing wave is set up in a 100-cm string fixed at both ends.The string vibrates in 5 distinct segments when driven by a 120-Hz source.What is the wavelength?
A) 10 cm
B) 20 cm
C) 40 cm
D) 80 cm

Question

Quizplus · Accepted Answer

The number of segments is equal to the number of nodes in the standing wave. In this case, there are 5 segments or nodes. 
The fundamental frequency of a standing wave in a string fixed at both ends is given by:
f = (n/2L) * sqrt(T/μ)
where n is the number of segments or nodes, L is the length of the string, T is the tension in the string, and μ is the linear density of the string. 
Solving for the wavelength, we get:
λ = 2L/n = 200/5 = 40 cm. 
Therefore, the wavelength is 40 cm.

A Standing Wave Is Set Up in a 100-Cm String