Two-out-of-tune flutes play the same note. one produces a tone that has a frequency of 250 hz, while the other produces 266 hz. when a tuning fork is sounded together with the 250-hz tone, a beat frequency of 9 hz is produced. when the same tuning fork is sounded together with the 266-hz tone, a beat frequency of 7 hz is produced. what is the frequency of the tuning fork?

 x = 259 Hz

Explanation:

given,

frequency of one tuning fork = 250 Hz

frequency of another tuning fork = 266 Hz

when a tuning fork is sounded together beat frequency heard = 9

 let x be the frequency of unknown

 x - 250 = 9 Hz(1)

 x = 259 Hz

when a another tuning fork is sounded together beat frequency heard = 7

266 - x  = 7 Hz(2)

 x = 259 Hz

now, on solving both the equation the frequency comes out to be 259 Hz.

so, The frequency of the tuning fork is equal to 259 Hz

explanation:

considering the bohr theory, the type of connection that requires the transfer the answer conuldn't be right