Tuning fork A has frequency of 440 Hz and tuning fork C hasfrequency of 441 Hz.

Question

Tuning fork A has frequency of 440 Hz and tuning fork C hasfrequency of 441 Hz. Tuning fork B has unknownfrequency. When forks A and B are sounded together 8 beats/second are heard. When forks B and C are sounded together 7beats per minute are heard. The frequency of fork B is: Show work Tuning fork A has frequency of 440 Hz and tuning fork C hasfrequency of 441 Hz. Tuning fork B has unknownfrequency. When forks A and B are sounded together 8 beats/second are heard. When forks B and C are sounded together 7beats per minute are heard. The frequency of fork B is: Show work

Explanation / Answer

If when  forks A and B are sounded together 8 beats/second are heard, then the frequency of fork B willbe  440+8 or 440-8 therefore the frequency of the fork B will be either 448Hz or432Hz.
If the frequency of fork B is 448Hz, then the beat frequencywhen it sounded together the fork C will be 448-441 =7beats/sec
If the frequency of fork B is 432Hz, then the beat frequencywhen it sounded together the fork C will be 441-432 =7beats/sec
Therefore the frequency of fork B is 448Hz
Hope this helps you

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