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 w

Question

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

TestHub · Accepted Answer

Given number of beats = 5 , l 1 ​ = 0.97 m , l 2 ​ = 0.96 m The frequencies of the given sonometer are as follows: f 1 ​ = 2 l 1 ​ 1 ​ m T ​ ​ f 2 ​ = 2 l 2 ​ 1 ​ m T ​ ​ f 2 ​ − f 1 ​ = 5 2 1 2 ​ 1 ​ m T ​ ​ − 2 1 1 ​ 1 ​ m T ​ ​ = 5 ( 2 ( 0.96 ) 1 ​ − 2 ( 0.97 ) 1 ​ ) m T ​ ​ = 5 m T ​ ​ = 931.2 ∴ f 1 ​ = 480 Hz and f 2 ​ = 485 Hz

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