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 50N and the speed of sound is 320 ms

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Physics

Physical Quantities

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 50N and the speed of sound is 320 ms^–1, the mass of the string is

40 grams

20 grams

10 grams

5 grams

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$\frac{2}{2 \times 0 .5} \times \sqrt{\frac{\frac{50}{m}}{0 .5}} = \frac{1}{4 \times 0 .8} \times 320$

$\frac{2 \times 5}{\sqrt{m}} - 100$

$m = \frac{1}{100} = 10 gm$

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