Question
A note produces 7 beats with tuning fork A of frequency 256Hz and 3 beats with tuning fork B of frequency 266hz. Find the frequency of the note.
Solution
Let v be the frequency of the note.
The note produces 7 beats with tuning fork A of frequency 256Hz.
Therefore, the possible frequencies of note are, v = 256 ± 7
i.e. 249 or 263 Hz.
When the note is sounded with tuning fork B of frequency 266 Hz, it produces 3 beats.
Therefore the possible frequencies of note are, v = 266 ± 3.
i.e. 263 or 269 Hz.
The common frequency in both the cases is 263 Hz.
Thus, the frequency of the note is 263 Hz.
