Physics - Sound Wave Question with Solution | TestHub

For a pipe closed at one end, the fundamental mode (zeroth overtone) has $1$ node and $1$ antinode.

In general, the $n$-th overtone corresponds to the $(2n+1)$-th harmonic and has $(n+1)$ nodes and $(n+1)$ antinodes.

For the fourth overtone, $n=4$.

Number of nodes, $x=4+1=5$

Number of antinodes, $y=4+1=5$

Thus, the values of $x$ and $y$ are $5$ and $5$ respectively.

Answer: $5,5$