Question
State and explain principle of superposition of waves.
✓
Answer
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:
$i.$ Consider two waves travelling through a medium arriving at a point simultaneously.
$ii.$ Let each wave produce its own displacement at that point independent of the others. This displacement can be given as,
$y_1 =$ displacement due to first wave.
$y_2 =$ displacement due to second wave.
$iii.$ Then according to superposition of waves, the resultant displacement at that point is equal to the vector sum of the displacements due to all the waves.
$\therefore \vec{y}=\overrightarrow{y_1}+\overrightarrow{y_2}$
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:
$i.$ Consider two waves travelling through a medium arriving at a point simultaneously.
$ii.$ Let each wave produce its own displacement at that point independent of the others. This displacement can be given as,
$y_1 =$ displacement due to first wave.
$y_2 =$ displacement due to second wave.
$iii.$ Then according to superposition of waves, the resultant displacement at that point is equal to the vector sum of the displacements due to all the waves.
$\therefore \vec{y}=\overrightarrow{y_1}+\overrightarrow{y_2}$
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