3.6 Standing waves:
No direction of motion No energy transfer How standing wave looks like? Position dependent amplitude and envelope Wavelength All particles have the same frequency Does a standing wave have speed? Nodes have zero amplitude Antinodes have maximum amplitude Distance between two nodes Distance between node and antinode Phase differences
Resultant wave of two 1d waves traveling in the same direction
Generation of standing waves with two travelling waves Generation of standing wave by reflection of a travelling wave Phase shift after reflection
Standing waves on a string or rope Harmonics are only node-node wavelength = 2L / n Fundamental frequency f1= v / 2L fn = n * f1 Waves on a string-phet
Standing waves in a air column Harmonics can be node-antinode, wavelength = 4L / 2n -1 Fundamental frequency f1= v / 4L fn = (2n -1 ) * f1 Harmonics can also be node-node or antinode-antinode