Wave Mechanics Vibration Of String Question 14

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

[AMU 2000]

Options:

A) 8, 7

B) 7, 7

C) 8, 9

D) 9, 8

Show Answer

Answer:

Correct Answer: A

Solution:

String will vibrate in 7 loops so it will have 8 nodes 7 antinodes.

Number of harmonics = Number of loops = Number of antinodes

Therefore Number of antinodes = 7 Hence number of nodes = Number of antinodes + 1 $ =7+1=8 $