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Intensity of Sound Waves

A hollow pipe...

Question

A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is 50 N and the speed of sound is 320 ms $^{- 1}$ , the mass of the string is :

A

5 grams

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B

10 grams

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C

20 grams

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D

40 grams

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Solution

The correct option is C 10 grams
Frequency of the closed organ pipe is,
$f = \frac{v_{S}}{4 L_{P}} = \frac{2 \sqrt{\frac{T}{μ}}}{2 l_{s}}$

Mass of the string
$μ l_{s} = 10 g$

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