First slide

Stationary waves

Question

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

Easy

A

8, 7
B

7, 7
C

8, 9
D

9, 8

Solution

String will vibrate in 7 loops so it will have 8 nodes 7 antinodes.
Number of harmonics = Number of loops = Number of antinodes $\Rightarrow$ Number of antinodes = 7
Hence number of nodes = Number of antinodes + 1
= 7 + 1 = 8

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