A closed organ pipe of length L and an open organ pipe contain gases of densities p1 and p2 respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is - VgyanHub

Question:

A closed organ pipe of length L and an open organ pipe contain gases of densities p₁ and p₂ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is

Options :

(a) L/3
(b) 4L/3
(c) 4L/3 x √p1/p2
(d) 4L/3 x √p2/p1

Answer :

(c) 4L/3 x √p₁/p₂

Answer Steps :

step 1

step 2

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