Final answer:
The wavelength of a standing wave in a tube that is open at one end and closed at the other is four times the length of the tube, hence the wavelength is 4L.
Step-by-step explanation:
The question is related to the concept of standing waves in a tube that is open at one end and closed at the other. The wavelength of a standing wave is determined by the size of the region in which the wave is confined. Since the distance from a node to an antinode is one-fourth of a wavelength and equals the length of the tube, we have λ = 4L, where λ represents the wavelength and L is the length of the tube.
For a tube open at both ends, the fundamental wavelength is 2L. However, as per the question's scenario, with one end open and one end closed, the wavelength is four times the length of the tube. This is equivalent to considering the tube's length as one-fourth of the wavelength. Therefore, the correct answer is that the wavelength of the standing wave is 4L.