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Question

In a resonance tube experiment when the tube is filled with water up to a height of 17.0 cm from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of 24.5 cm. If the velocity of sound in air is 330 m/s, the tuning fork frequency is

A
2200 Hz
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B
550 Hz
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C
1100 Hz
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D
3300 Hz
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Solution

The correct option is A 2200 Hz
Given that
l1=17 cm and
l2=24.5 cm,V=330 m/s,f=?


λ=2(l2l1)=2×(24.517)=15 cm

Now, from
v=fλ330=λ×15×102

λ=33015×100=1100×1005=2200 Hz

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