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A closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has

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A closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has
athree nodes and three antinodes
bthree nodes and four antinodes
cfour nodes and three antinodes
dfour nodes and four antinodes
✓ Correct answer: d) four nodes and four antinodes
ExplanationA closed organ pipe has a node at the closed end and an antinode at the open end.The harmonics that can be excited are odd multiples of the fundamental frequency, corresponding to specific standing wave patterns.The fundamental frequency (first harmonic) has 1 node and 1 antinode.The first overtone (third harmonic) has 2 nodes and 2 antinodes.The second overtone (fifth harmonic) has 3 nodes and 3 antinodes.The third overtone (seventh harmonic) has 4 nodes and 4 antinodes.Therefore, when a closed organ pipe is excited to support the third overtone, the air in the pipe has four nodes and four antinodes.

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