The fundamental frequency of an air column in a pipe open at both ends is ' f ₁ '. Now 80 % of its length is immersed in water, the fundamental frequency of the air column becomes f₂ . The ratio of f₁: f₂ is

Step-by-step solution

The fundamental frequency of the open pipe = f ₁= V 2 ~L After dipping in water, the pipe behaves like a closed pipe. As the pipe is dipped 80 % in water, l= 20 100 L = L 5 Fundamental frequency f ₂= V 4 l = 5 ~V 4 ~L f ₁ f ₂ = V 2 ~L 4 ~L 5 ~V = 2 5