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Organ pipes
Appears in
Concepts tested here
- Closed and open pipe harmonics
- Harmonics of a closed pipe
- Open pipe
All Questions
2015 AIPMT-I 1 question
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The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both ends isFundamental frequency of the closed pipe: $\frac{v}{4L_C}$
Second overtone of the open pipe: $\frac{3v}{2L_O}$
$\frac{v}{4L_C} = \frac{3v}{2L_O} \Rightarrow L_O = 6L_C$
$L_O = 6\times 20 = 120$ cm
2014 AIPMT 1 question
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The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are: (velocity of sound = 340 $ms^{-1}$)For a closed organ pipe, $f_n = (2n + 1)\frac{v}{4l}$, with $\frac{v}{4l} = \frac{340}{4\times0.85} = 100$ Hz
$f_0 = 100$ Hz, $f_1 = 300$ Hz, $f_2 = 500$ Hz, $f_3 = 700$ Hz, $f_4 = 900$ Hz, $f_5 = 1100$ Hz
These six frequencies are below 1250 Hz.
2013 NEET 1 question
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If we study the vibration of a pipe open at both ends, then the following statement is not true:Pressure change is minimum at both open ends (they are displacement antinodes, i.e. pressure nodes).