Transverse wave?

Question

A 30-cm long string, with one end clamped and the other free to move transversely, is vibrating in its second harmonic. The wavelength of the constituent traveling waves is:

Answer 1

The n-th harmonic of a string's vibration will have n/2 wavelenths along the length of the string. So in the second harmonic, there are 2/2 = 1 wavelength in the 30 cm length, and the wavelength is 30 cm.