If l₁, l₂ and l₃ are wave lengths of the waves giving resonance with fundamental, first and second over tones of closed organ pipe. The ratio of wavelengths l₁: l₂ : l₃ is ..........

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1 : 1/3 : 1/5

1 : 5 : 3

1 : 3 : 5

1 : 2 : 3

answer is B.

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Detailed Solution

$λ = \frac{4 l}{(2 N - 1)}$ where N =1, 2, 3
$N = 1 \Rightarrow λ_{1} = \frac{4 l}{1}$

$N = 2 \Rightarrow λ_{2} = \frac{4 l}{3}$

$N = 3 \Rightarrow λ_{3} = \frac{4 l}{3} \Rightarrow λ : λ_{2} : λ_{3} = 1 : \frac{1}{3} : \frac{1}{5}$

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