A cylindrical tube open at both ends has fundamental frequency f in air. When the tube is dipped vertically in water so that one-third part of the tube is in water, the fundamental frequency of air column becomes (neglect end correction)

Step-by-step solution

We know. Frequency is ratio of velocity of sound and wavelength: f= v For tube of length , in fundamental mode wavelength is given by 2 =L 2 =L . f= v 2 L Now, if tube is dipped one third, then for fundamental mode in air column has: aligned & ^ 2 = ( 2 3 L ) & f^ = 3 v 4 L = 3 2 f aligned