In an open tube of length L, containing an unspecified fluid (which could be a l

Question

In an open tube of length L, containing an unspecified fluid (which could be a liquid or a gas), we set up a series of standing waves.

A possible node-antinode sequence for a standing wave might be NANAN; this configuration might or might not match the current situation.

(a) What is the configuration of the standing wave in this tube for the fundamental mode of oscillation, which has the greatest possible wavelength?

(b) If the length of the tube is L, what is this wavelength?

(c) Answer the same questions for the possible configuration having an additional antinode.

(d) Answer once more, this time for a configuration having still another antinode.

Explanation / Answer

a)ANA because at open end antinodes are formed, and for having greatest wavelength, we wil have antinodes at each end and node in the middle.

b)wavelength = 2*distance between antinodes = 2L,

so wavelength = 2 L

c) CONFIGURATION : ANANA

Here wavelength = 2*L/2 = L

d)Configuration : ANANANA

wavelength = 2*L/3 = 2L/3

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