A cylindrical tube open at both ends possesses a fundamental frequency . The tube is then immersed vertically in water such that half of its length is submerged. The new fundamental frequency becomes

Step-by-step solution

For an open tube of length L , the fundamental frequency is given by = v 2L When the tube is immersed vertically in water such that half of its length is submerged, it behaves as a closed tube with an air column of length L' = L 2 . The fundamental frequency of a closed tube is given by ' = v 4L' Substituting L' = L 2 , we get ' = v 4 ( L 2 ) = v 2L Comparing with the initial frequency, we have ' =