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