In a pipe closed at one end, an air column is | vedclass

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(D) For a pipe closed at one end, the frequencies of the harmonics are given by $f_n = (2n + 1)f_0$, where $n = 0, 1, 2, ...$ represents the overtone

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$5, 5$

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(D) For a pipe closed at one end, the frequencies of the harmonics are given by $f_n = (2n + 1)f_0$, where $n = 0, 1, 2, ...$ represents the overtone number.For the fourth overtone, $n = 4$.The frequency is $f_4 = (2(4) + 1)f_0 = 9f_0$.The general formula for the number of nodes in a closed pipe vibrating in the $n$-th overtone is $x = n + 1$.Substituting $n = 4$, we get $x = 4 + 1 = 5$.The general formula for the number of antinodes in a closed pipe vibrating in the $n$-th overtone is $y = n + 1$.Substituting $n = 4$, we get $y = 4 + 1 = 5$.Therefore, the values of $x$ and $y$ are $5$ and $5$ respectively.

In a pipe closed at one end, an air column is vibrating in the fourth overtone. If the vibrating air column has $x$ nodes and $y$ antinodes, then the values of $x$ and $y$ are respectively:

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