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Question

Sets of travelling waves are given as shown in above figure. Identify which of the following set of the wave will soon show destructive interference?
479976_81994f71a11a48e89f4ce4691e3f17a3.png

A
A
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B
B
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C
C
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D
D
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E
E
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Solution

The correct option is D E
Superposition principle states that the resultant displacement at any instant is the vector sum of the displacements produced by two waves separately and at the point where the resultant displacement is minimum , there is destructive interference.
we can see from the given figures that in set E displacement will be minimum after superposition because waves are in opposite direction so the vector sum of displacements will be zero , therefore it will show destructive interference.

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