Discussion
When a tuning fork of frequency 256 Hz is sounded together with unknown tuning fork, 4 beats are heard in one second. The frequency of the unknown tuning fork can be
Answer: A
The unknown fork can be 260 Hz or 252 Hz.
The beat frequency equals the difference between the two frequencies. Four beats per second means the unknown frequency differs from 256 Hz by 4 Hz, so it is 256 + 4 = 260 Hz or 256 - 4 = 252 Hz. Which one it is cannot be told without a further test, such as loading one fork with wax.
Each other pair includes a value that does not differ from 256 Hz by 4: 256 Hz itself would give no beats, and 258, 250, 248, 255, 257 and 215 Hz would give 2, 6, 8, 1, 1 and 41 beats per second.
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