Question

a. What are the three longest wavelengths for standing waves on a 240-cm-long string that is fixed at both ends? b. If the frequency of the second-longest wavelength is 50 Hz, what is the frequency of the third-longest wavelength?

Short answer

a) 480cm, 240cm and 160 cm.

b) Data inadequate

Step-by-step solution

Given Information

We have a standing wave on a string 240cm long that is fixed at both ends.

Part a:

If m = 1, wavelength = 480cm

If m = 2, wavelength = 240cm

If m = 3, wavelength = 160cm

Part b:

Frequency of third longest wavelength is not related to frequency of second longest wavelength and so it can have any value depending on the tension in string.