The first harmonic of a standing wave is set up in a 3-m string with a mass of 100 g and a tension of 100 N.What is the frequency of the harmonic?
A)10.4 Hz
B)9.1 Hz
C)3.5 Hz
D)15.2 Hz
E)8.3 Hz

Question

Quizplus · Accepted Answer

The frequency of the first harmonic can be calculated using the formula: 
f = (1/2L) x √(T/μ) 
where L is the length of the string, T is the tension, and μ is the linear mass density (mass per unit length) of the string. 
In this case, L = 3 m, T = 100 N, and μ = (mass of string) / (length of string) = 0.1 kg / 3 m = 0.0333 kg/m. 
Plugging in the values, we get: 
f = (1/2 x 3) x √(100 / 0.0333) = 9.1 Hz. 
Therefore, the answer is choice B.

The First Harmonic of a Standing Wave Is Set Up