The vibrating of four air columns are represented in the figure. The ratio of frequencies n p : n q : n r : n s is

Step-by-step solution

As is clear from figure of question l = λ p 4 , λ = 4 l , n p = v λ p = v 4 l l = λ q 2 , λ q = 2 l , n q = v λ q = v 2 l l = λ r , λ r = l , n r = v λ r = v l l = 3 λ s 4 , λ s = 4 l 3 , n s = v λ s = 3 v 4 l ∴ n p : n q : n r : n s = v 4 l : v 2 l : v l : 3 v 4 l = 1 : 2 : 4 : 3