Which harmonics are present in a pipe closed at one end?
AOnly even numbered ones
BOnly prime numbered ones
COnly whole numbered ones
DOnly odd numbered ones
Answer & Solution
Correct answer: D. Only odd numbered ones
1. A closed end must be a node and the open end an antinode.
2. That boundary condition rules out half of the series.
3. For a pipe closed at one end only the odd numbered harmonics are present.
4. So the third and fifth harmonics appear but the second does not.
_Source: NCERT Class XI Physics Part II, Ch 14 'Waves'_
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