Waves - Result Question 52

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

[1991]

(a) three nodes and three antinodes

(b) three nodes and four antinodes

(c) four nodes and three antinodes

(d) four nodes and four antinodes

Topic 3: Beats, Interference & Superposition of Waves

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Answer:

Correct Answer: 54. (d)

Solution:

  1. (d) Third overtone has a frequency $7 n$, which means $L=\frac{7 \lambda}{4}=$ three full loops + one half loop, which would make four nodes and four antinodes.