Home Physics Wave and Sound Organ Pipes and Resonance An open pipe is in resonance in 2nd harmonic…
Physics Wave and Sound Organ Pipes and Resonance MCQ (Single Correct)

An open pipe is in resonance in 2nd harmonic with frequency f 1 . Now one end of the tube is closed and frequency is increased to f 2 such that the resonance again occurs in nth harmonic. Choose the correct option:

A
n = 3, f 2 = f 1
B
n = 3, f 2 = f 1
C
n = 5, f 2 = f 1
D
n = 5, f 2 = f 1

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Text Solution

Verified by Experts
The correct answer is:
D

Fundamental harmonic of open organ pipe is given by:

as tube vibrates in second harmonic, hence
if one end is close, it gives only odd harmonics & Fundamental frequency

other harmonics are ( ), ( ) etc.
One frequency starts increasing the first higher harmonic that is resonated is ( )
if , then

However here is a snag. The frequency is increased from ( ) hence ( ).
is not greater than .
is the answer
Answer is and

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