Nodes and Antinodes

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.

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 

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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

_{│<<<Stationary wave│   │Harmonics and Overtone>>>│} 

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