The frequency of vibrating air column in a pipe, open at both ends is f₁ . When ( 3 4 )^ th of its length is immersed in water, the frequency of vibrating air column is f₂ . The value of f₁ f₂ is

Step-by-step solution

Open pipe frequency, f₁= v 2 L Frequency, f₂= v 4(L / 4) ( when 3 / 4^ th of length is dipped, it acts as closed pipe of length 1 4 of length) So, f₁ f₂ = v / 2 L v / 4(L / 4) = 1 2