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Question

A tuning fork of frequency 340 Hz is sounded above a cylindrical tube 1 m long. Water is slowly poured into the tube .If the speed of sound is 340 ms1, at what levels of water in the tube will the sound of the tuning fork be appreciably intensified?

A
25 cm,75 cm
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B
20 cm,80 cm
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C
23 cm,67 cm
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D
40 cm,80 cm,
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Solution

The correct option is D 25 cm,75 cm
The tuning fork is in resonance with a water column closed at one end:
resonance will occur at lengths:
H=nv4f×L for n=1,3,5...
Now, H=n×3404×340×100cm=n×25cm
H1=25cm, H2=75cm

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