identify the standing wave pattern for a string that is vibrating with a sixth harmonic wave pattern.
identify the standing wave pattern for a string that is vibrating with a sixth harmonic wave pattern.
Answer
Answer:
The standing - wave pattern for a string vibrating with a sixth harmonic has 6 antinodes and 7 nodes.
Explanation:
Step1: Recall harmonic - node/antinode relationship
For the $n$th harmonic of a vibrating string fixed at both ends, the number of antinodes is $n$.
Step2: Determine number of nodes
The number of nodes $N$ for a vibrating string is related to the number of antinodes $A$ by $N=A + 1$. Since $A = 6$ (for the sixth harmonic), then $N=6 + 1=7$.