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Question
Answer briefly.
State and explain the principle of superposition of waves.
Solution
- Principle:
As waves don’t repulse each other, they overlap in the same region of the space without affecting each other. When two waves overlap, their displacements add vectorially. - Explanation:
- Consider two waves travelling through a medium arriving at a point simultaneously.
- Let each wave produce its own displacement at that point independent of the others. This displacement can be given as,
y1 = displacement due to first wave.
y2 = displacement due to second wave. - Then according to the superposition of waves, the resultant displacement at that point is equal to the vector sum of the displacements due to all the waves.
∴ `vec"y" = vec"y"_1 + vec"y"_2`
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