Nodes and Antinodes
Introduction : In previous topic we have seen about mathematical expression in case of stationary wave. The stationary wave is a resultant of two opposite wave having same amplitude. In a stationary wave there exist a alternate point of minimum and maximum displacement. This point is called as node and antinode respectively. We are going to see this in details.
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| Nodes and Antinode |
Node : The point of minimum displacement is called as node.
Condition for Nodes : At the point of node the displacement is zero i.e A=0
From the equation of stationary wave we have Amplitude as
Node : The point of maximum displacement is called as Antinode.
Condition for Antinodes : At the point of Antinode the displacement is 2a i.e
A=(+- 2a)
From the equation of stationary wave we have Amplitude as
As the distance between alternate Node and Antinode is λ/2
therefore, distance between Antinode and Node is λ/4
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