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A pipe closed at one end and open at the other end resonates with a sound of frequency 135 Hz and also with 165 Hz, but not at any other frequency intermediate between these two. Then, the frequency of the fundamental note of the pipe isChoose the correct answer: 15 Hz 60 Hz 7.5 Hz 30 Hz

A pipe closed at one end and open at the other end resonates with a sound of frequency 135 Hz and also with 165 Hz, but not at any other frequency intermediate between these two. Then, the frequency of the fundamental note of the pipe isChoose the correct answer: 15 Hz 60 Hz 7.5 Hz 30 Hz

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
2 years ago
576-1207_1.PNG
Vikas TU
14149 Points
2 years ago
We know , frequency of sound wave in pipe closed at one end and open at the other end resonates, .
Here, v = velocity of speed.
         L = length of tube.
Now, it is given that their is no any wave between 135 Hz and 165 Hz.
Therefore, these are consecutive resonating frequencies.
So, 135 = (2n+1)v/4L
165 = (2(n+1)+1)v/4L = (2n+3)v/4L

Subtracting them we get ,
v/4L = 15
Therefore, fundamental frequency is 15.
Hence, this is the required solution.
 

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