An open pipe immersed in water to half its length. The ratio of the fundamental frequency of the pipe before and after immersion in water is

Step-by-step solution

Let L_ o be the length of air column in pipe. After immersion, L_ c = L₀ 2 Fundamental frequency in open pipe, f_ o = v 2 L₀ Fundamental frequency in closed pipe, f_ c = v 4 L_ c ^ r f_ o f_ c = v 2 L_ o v 4 L_ c =2 ( L_ c L_ o )=2 ( L_ o 2 L_ o )=1: 1