The fundamental frequencies of vibrations of air column in pipe open at both ends and in pipe closed at one end are ' n ₁ ' and ' n ₂ ' respectively, then

Step-by-step solution

The fundamental frequency of a pipe open at both ends is n₁ = v 2L , while for a closed pipe it is n₂ = v 4L . Taking the ratio n₁ n₂ = v/2L v/4L = 4 2 = 2 , we find that n₁ = 2n₂ . Final answer: B