The first overtone of an open orgen pipe beats with the first ouertone of a closed orgen pipe with a beat frequency of `2.2 H_(Z)` . The fundamental frequency of the closed organ pipe is `110 H_(Z)` . Find the lengths of the pipes . Speed of sound in air `u = 330 m//s` .

Explanation

`(L_0=1pm 0.0067m,L_0=0.75m)`
`L_c=v//4 f_c=0.75m, f'_c=3 f_c=330 Hz,f_0=v//L_0`
`therefore [(v//L_0)pmf_c]=2.2,L_0=1pm0.0067m`