Q.

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

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a

f2

b

3f4

c

f

d

2f

answer is C.

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Detailed Solution

Without water f=v2lWith water f′=v4l′=v4l2⇒f′=v2l=f
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A cylindrical tube, open at both ends has fundamental frequency ‘f’ in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now