Wave Motion 2 Question 44
44. The air column in a pipe closed at one end is made to vibrate in its second overtone by tuning fork of frequency
(a) Find the length
(b) What is the amplitude of pressure variation at the middle of the column?
(c) What are the maximum and minimum pressures at the open end of the pipe?
(d) What are the maximum and minimum pressures at the closed end of the pipe?
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Answer:
Correct Answer: 44. (a)
(c) equal to mean pressure
(d)
Solution:
- (a) Frequency of second overtone of the closed pipe
Substituting
(b) Open end is displacement antinode. Therefore, it would be a pressure node.
Pressure amplitude at
Therefore, pressure amplitude at
(c) Open end is a pressure node i.e.
Hence,
(d) Closed end is a displacement node or pressure antinode.
