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Q.

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

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a

3/8

b

1/3

c

8/3

d

1/2

answer is B.

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Detailed Solution

detailed_solution_thumbnail

P1 →closed pipe ; First overtone n1=3V4lc
p2 →open organ pipe Third over tone n3=4V2l0 ; Resonance n1 = n3
3V4lc=4V2l0⇒lcl0=38

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