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Frequency

A closed orga...

Question

A closed organ pipe and an open organ pipe of the same length produce 4 beats when they are set into vibrations simultaneously. If the length of each of them were twice their initial lengths, the number of beats produced will be

A

2

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B

4

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C

1

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D

8

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Solution

The correct option is A 2
Frequency, $f \propto \frac{1}{l}$
$\Rightarrow f_{1} - f_{2} \propto \frac{1}{l}$
As length is doubled, $f_{1} - f_{2}$ becomes half.
i.e $\frac{4}{2} = 2 b e a t s / s e c$

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