In a pipe closed at one end, air column is vibrating in its third overtone. The air column has

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For a pipe closed at one end, the fundamental mode (zeroth overtone) corresponds to 1 node and 1 antinode. The p -th overtone corresponds to the (2p+1) -th harmonic, and the number of nodes and antinodes in the p -th overtone is p+1 . For the third overtone, p=3 . Number of nodes = 3 + 1 = 4 Number of antinodes = 3 + 1 = 4 Thus, the air column has four nodes and four antinodes. Answer: four nodes and four antinodes