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Standing Waves in Open Organ Pipe

An open pipe ...

Question

An open pipe of length 100 cm is resonating with a tuning fork. To what depth the open pipe is to be immersed vertically in a trough of water, so that the pipe again resonates with the same tuning fork? (neglect end correction)

A

30 cm

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B

50 cm

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C

60 cm

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D

80 cm

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Solution

The correct option is B
50 cm

For open pipe, $γ = \frac{v}{2 l_{o}}$ [Fundamental frequency]

For closed pipe, $γ = \frac{v}{4 l_{c}}$ [Fundamental frequency]

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