Question

Select One Correct Option from the following: A pipe of length $l_{1}$, closed at one end is kept in a chamber of gas of density $p_{1}$. A second pipe open at both ends is placed in a second chamber of gas of density $p_{2}$. The compressibility of both the gases is equal. Calculate the length of the second pipe if frequency of first overtone in both the cases is equal.
(A) $l_{1} /3$
(B) $4l_{1} /3$
(C) $\frac{4l_{1} }{3} \sqrt{\frac{p_{1} }{p_{2}}}$
(D) $\frac{4l_{1} }{3} \sqrt{\frac{p_{2} }{p_{1}}}$

Answer 1

a option is correct.
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Answer 2

(A) $l_{1} /3$