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A closed organ pipe and an open organ pipe of same length produce 2 beats when they are set into vibrations simultaneously in their fundamental mode. The length of open pipe is now halved and of closed organ pipe is doubled. The number of beats produced will be 

Option: 1

8


Option: 2

7


Option: 3

4


Option: 4

2


Answers (1)

best_answer

f-\frac{f}{2}=2 \text { or } f=4 \mathrm{~Hz}

Here f=\frac{v}{2 l} = fundamental frequency of open pipe and \frac{f}{2}=\frac{v}{4 l} = of closed pipe.

Now new beat frequency, 

=2 f-\frac{f}{4}=\frac{7 f}{4}=\frac{7 \times 4}{4}=7

 

Posted by

shivangi.bhatnagar

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