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Q.

A cylindrical tube open at both ends has a fundamental frequency ‘f’ in air. The tube is dipped vertically in water so that half of it is in water. The new fundamental frequency is 

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a

f2

b

4f

c

2f

d

f

answer is A.

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Detailed Solution

 Initially f=V2l Finally 

Question Image

From diagram, we can see

λ4= l2

⇒  λ  = 21

Now, fundamental frequency

= Vλ = V2l = f

So, there will be no change in fundamental frequency.

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A cylindrical tube open at both ends has a fundamental frequency ‘f’ in air. The tube is dipped vertically in water so that half of it is in water. The new fundamental frequency is