A 4.0-g string is 0.36 m long and is under tension.The string vibrates at 500 Hz in its third harmonic.What is the wavelength of the standing wave in the string?
A)0.24 m
B)0.36 m
C)0.54 m
D)0.72 m
E)0.90 m

Question

Quizplus · Accepted Answer

The wavelength of a standing wave in a string vibrating in its third harmonic can be found using the formula for harmonics in strings: $\lambda_n = \frac{2L}{n}$, where $L$ is the length of the string and $n$ is the harmonic number. For the third harmonic ($n = 3$), and given $L = 0.36$ m, the wavelength $\lambda_3 = \frac{2 \times 0.36 \, \text{m}}{3} = 0.24 \, \text{m}$.

A 40-G String Is 0