A pipe 50 cm long us open at both ends. What is the wavelength of a) The longest allowed standing wave in the pipe? b) Thenext-longestallowedstandingwave?

Answer 1

It is best to draw a picture.

Any standing wave will be vibrating at both ends, and will have

at least one node inside.

The longest standing wave will have one node, therefore half the wavelength

will fit into the pipe.

Therefore the longest wavelength is 1m.

The next one will have two nodes, so the whole wavelength fits into the pipe,

which makes the wavelength 50 cm.