A stationary wave the distance between a node and its adjacent antinode is
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Two sine waves with the same Amplitude, Wavelength and Frequency travelling in opposite directions will interfere and produce a combined wave (Figure 1). The waveform of the combined waves, on average has No Net Propagation of Energy and is known as standing wave.
Figure 1: Formation of Standing Wave
Property of standing wave:
(1) Nodes: Points which are stationary and with zero amplitude. At nodes, two waves travel in exactly same amplitude and out of phrase offset with each other. (Figure 2).
Figure 2: Nodes of Standing Wave
(2) Antinodes: Points at maximum amplitude. At antinodes, two waves travel in exactly same amplitude and in phrase reinforce with each other. (Figure 3).
Figure 3: Antinodes of Standing Wave
(3) The maximum amplitude of each particle is related with its position and each amplitude oscillates periodically.. (Figure 4).
Figure 4: Amplitude at different particles of the Standing Wave
(4) The distance between two adjacent nodes or two adjacent antinodes is equal to half of the wavelength (Figure 5).
Figure 5: Distance between nodes or antinodes
(5) As the displacement of the nodes is always zero, the waveform is not travelling. Hence energy is confined between two adjacent nodes.
Figure 1: Formation of Standing Wave
Property of standing wave:
(1) Nodes: Points which are stationary and with zero amplitude. At nodes, two waves travel in exactly same amplitude and out of phrase offset with each other. (Figure 2).
Figure 2: Nodes of Standing Wave
(2) Antinodes: Points at maximum amplitude. At antinodes, two waves travel in exactly same amplitude and in phrase reinforce with each other. (Figure 3).
Figure 3: Antinodes of Standing Wave
(3) The maximum amplitude of each particle is related with its position and each amplitude oscillates periodically.. (Figure 4).
Figure 4: Amplitude at different particles of the Standing Wave
(4) The distance between two adjacent nodes or two adjacent antinodes is equal to half of the wavelength (Figure 5).
Figure 5: Distance between nodes or antinodes
(5) As the displacement of the nodes is always zero, the waveform is not travelling. Hence energy is confined between two adjacent nodes.
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