Question

standing waves are set up on a string that is fixed at both ends so that the ends are nodes.
how many nodes are there in the fourth mode, including the endpoints?
5
4
6
2
3

Explanation:

Step1: Recall the formula for the number of nodes

For a standing wave on a string fixed at both ends, the number of nodes \(N\) in the \(n^{th}\) mode is given by \(N=n + 1\).

Step2: Substitute \(n = 4\) into the formula

When \(n = 4\), we have \(N=4 + 1\).

Answer:

\(5\)