Q.

If you set up the seventh harmonic on a string fixed at both ends, how many nodes and antinodes are set up in it

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a

8, 7

b

7, 7

c

8, 9

d

9, 8

answer is A.

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Detailed Solution

String will vibrate in 7 loops so it will have 8 nodes 7 antinodes. Number of harmonics = Number of loops = Number of antinodes ⇒ Number of antinodes = 7  Hence number of nodes = Number of antinodes + 1                                        = 7 + 1 = 8
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If you set up the seventh harmonic on a string fixed at both ends, how many nodes and antinodes are set up in it