Question
Explain the formation of stationary wave by analytical method. Show that nodes and antinodes are equally spaced in a stationary wave.
Solution
Formation of stationary waves by analytical method:
1) Consider two identical progressive waves of equal amplitude and frequency travelling along X axis in opposite direction. They are given by,
Thus, distance between two successive antinodes is λ/2.
Hence, nodes and antinodes are equispaced. The distance between a node and an adjacent antinode is `lambda/4`
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Solution Explain the Formation of Stationary Wave by Analytical Method. Show that Nodes and Antinodes Are Equally Spaced in a Stationary Wave. Concept: Formation of Stationary Waves on String.