Final answer:
A standing wave in an air column closed at one end has a node at the closed end and an antinode at the open end, with the tube length being one-fourth of the wavelength.
Step-by-step explanation:
When a standing wave is created in an air column that is closed at one end, the closed end represents a node of the standing wave. This is due to the fact that airflow is restricted at the closed end, preventing air displacement and thus creating a point of no movement or a node. Conversely, the open end permits maximum air displacement, resulting in an antinode where the motion is unconstrained. The length of the tube, L, corresponds to one-fourth of the wavelength (λ) of the sound wave producing the standing wave, which means that λ = 4L. This phenomenon is often utilized to understand resonances in musical instruments such as wind instruments or to experiment with sound waves and their properties in physics.