When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with 0.97 ~m length of sonometer wire and the other is in unison with 0.96 ~m length of the same wire. The frequencies of the two tuning forks are

Step-by-step solution

Given number of beats =5, l₁=0.97 ~m , l₂=0.96 ~m The frequencies of the given sonometer are as follows: f ₁= 1 2 l ₁ T m f ₂= 1 2 l ₂ T m f ₂- f ₁=5 1 21₂ T m - 1 21₁ T m =5 ( 1 2(0.96) - 1 2(0.97) ) T m =5 T m =931.2 f ₁=480 ~Hz and f ₂=485 ~Hz