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A pipe of 60 cm long and open at both th...

A pipe of 60 cm long and open at both the ends
produces harmonics. Which harmonic mode of pipe
resonates a `2.2` kHz source? Given, speed of sound in
ari ` = 300 ms^(-1)`.

A

Fifth harmonic

B

Eighth harmonic

C

Third harmonic

D

Second harmonic

Text Solution

Verified by Experts

The correct Answer is:
b
According to the modes of vibration of air column in
open organ pipe.
First mode of vibration `v_(1)=v/(2l)`
The frequency of nth mode of vibration
`v_(n)=nxxv_(1)=nxx(v/(2l))`
Given, `v_(n)=2.2 kHz = 2200 Hz, v= 330 ms^(-1)`
`l= 60 cm = 0.60 m`
`n= (2200xx 2xx 0.60)/330=2640/330=8`
So, eighth harmonic mode of pipe resonates.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STATIONARY WAVES -EXERCISE 1
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  2. Two forks A and B when sounded together produce four beats s^(-1). The...

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  3. A pipe of 60 cm long and open at both the ends produces harmonics. Whi...

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  4. If we study the vibration of a pipe open at both ends, then the follow...

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  5. Two organ pipes, each closed at one end, give 5 beats s^(-1) when emit...

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  6. The frequency of the first overtons of a closed pipe of length l(1) is...

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  7. Air is blown at the mouth of an open tube of length 25 cm and diamete...

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  8. A pipe opened at both ends prpduces a note of frequency f(1). When the...

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  9. A closed organ pipe of length 1.2 m vibrates in its first overtone mod...

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  10. An organ pipe P closed at one end vibrates in its first narmonic. Anot...

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  12. If lambda(1), lambda(2), lambda(3) are the wavelengths of the waves gi...

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  13. An organ pipe is closed at one end has fundamental frequency of 1500 H...

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  14. Two closed organ pipes of length 100 cm and 101 cm 16 beats is 20 sec....

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  15. An open pipe is suddenly closed at one end with the result that the fr...

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  16. An open organ pipe has fundamental frequency 100 Hz. What frequency wi...

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  17. A pipe closed at one end open at the other end, resonates with sound w...

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  18. A glass tube is open at both the ends. A tuning fork of frequency f re...

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  19. A cylinderical tube open at both ends, has a fundamental frequency f i...

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  20. The end correction of a resonance colume is 1.0 cm.If the shortest len...

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