Question

A string has a mass of 12.3 g. The string is stretched with a force of 8.67 N, giving it a length of 1.81 m. Then, the string vibrates transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. What is the wavelength of the standing wave created in the string?

Answer 1

λ = 0.905m

Step-by-step explanation:

TThe wavelength (λ) only depends on the harmonic (n) and the length of the string (L):

λ = 2L/n

λ = 2*1.81m /4

λ = 0.905m