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Q.

The pipe of length l1 , closed at one end is kept in a chamber of gas of density ρ1. A second pipe open at both ends is placed in a second chamber of gas density ρ2, the compressibility of both gases is equal. Calculate length of the second pipe if frequency of first one in both the cases are equal.

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a

43l1ρ2ρ1

b

43l1ρ1ρ2

c

l1ρ2ρ1

d

l1ρ1ρ2

answer is B.

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Detailed Solution

Frequency of first overtone in closed pipe f=34l1Pρ1     → 1  Frequency of first overtone in open pipe  f'=22l2Pρ2      →  2  equating (1) & (2)  l2=43l1ρ1ρ2
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