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Q.

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

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a

13.3 cm

b

8 cm

c

12.5 cm

d

16 cm

answer is A.

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Detailed Solution

Fundamental frequency of open organ pipe f0 = v2l1 Third harmonic of a closed organ pipe f3 = 3v4l2It is given f0 = f3v2l1 = 3v4l2or l1 = 23l2 = 403cm = 13.3 cm

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