Question

If the wavelength of the standing wave of a 60-cm long guitar string is 40 cm, and it has antinodes at x = 10, 30, and 50 cm and nodes at x = 0, 20, 40 and 60 cm, what is the wavelength of the longest wavelength standing wave pattern that can fit on this guitar string?

Answer 1

The longest pattern that can fit on a string is called the fundamental and is given by λ = 2L                          

Wavelength of the longest wavelength standing wave pattern that can fit on this guitar string = 2L = 2*60=120cm(answer)