Question

An organ pipe of length 3.0 m has one end closed. The longest and next-longest possible wavelengths for standing waves inside the pipe are

Answer 1

The longest wavelength for closed at one end and open at the other is

y / 4 where y is the wavelength - that is node - antinode

The next possible wavelength is 3 y / 4 - node - antinode - node -antinode

y / 4 = 3 m y = 12 meters the longest wavelength

3 y / 4 = 3 m y = 4 meters 1 / 3 times as long