Which of the following statements about waves in pipes is correct?

a

for open pipes, there is only one end correction to be accounted for

b

for closed pipes, there are two end corrections to be accounted for

c

only odd harmonics are possible in closed pipes

d

all harmonics are possible in closed pipes

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c

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ONISAM
6 months ago

Explanation:
1. Open Pipes (both ends open)
Both ends are antinodes.
All harmonics (1st, 2nd, 3rd…) are possible.
End correction: usually at both ends (slightly increases effective length).
2. Closed Pipes (one end closed, one end open)
Closed end: node (no displacement)
Open end: antinode (maximum displacement)
Only odd harmonics are possible: 1st, 3rd, 5th, …
2nd, 4th, 6th… do not exist in a closed pipe.
End correction: only one open end is corrected.
Other options:
A. For open pipes, there is only one end correction → ❌ two ends need correction
B. For closed pipes, there are two end corrections → ❌ only one open end needs correction
D. All harmonics in closed pipes → ❌ only odd harmonics exist
✅ Key point:
Closed pipe → odd harmonics only
Open pipe → all harmonics possible

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