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Q.

An organ pipe P1 closed at one end vibrating in its first overtone and another pipe P2 open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of P1 and P2 is

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a

1 : 2

b

1 : 3

c

3 : 8

d

3 : 4

answer is C.

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Detailed Solution

First overtone of closed organ pipe n1=3v4l1 Third overtone of open organ pipe n2=4v2L2n1=n2 (Given) ⇒3v4L1=4v2L2⇒L1L2=38

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