Suppose we listen to the sound of a vibrating string with a pickup that is sensitive to the motio...

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Suppose we listen to the sound of a vibrating string with a pickup that is sensitive to the motion at a point 1/3 of the stri

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Answer 1

Answer #1

The standing waves formed will be such that both the ends will have a node.

You will not be able to hear a note if the position where the pickup is placed has a node as a node will not have any pressure variation hence no sound produced.

For 3rd harmonic, the positions where the nodes are present are:

x = 0, L/3, 2L/3 and x = L

since, the pickup is at L/3, we will not be able to hear the 3rd harmonic [3rd mode]

Also, 6th harmonic will have a node at x = L/3 [because 6 is an integral multiple of 3]

therefore, we will not be able to hear the 6th harmonic.

[answer - D]

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Answer 2

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