Middle C on a typical musical instrument has a frequency of 264 Hz. How long does one complete oscillation take?
A0.264 ms
B26.4 ms
C3.79 ms
D264 ms
Answer & Solution
Correct answer: C. 3.79 ms
1. Period and frequency are reciprocals, so T = 1 / f.
2. T = 1 / 264 Hz, and 264 Hz means 264 cycles per second.
3. T = 3.79 x 10^-3 s.
4. Converting to milliseconds, 3.79 x 10^-3 s = 3.79 ms.
5. Reading the frequency itself as a time gives 264 ms, which is the trap in one option.
_Source: OpenStax College Physics (CC BY 4.0), Ch 16 "Oscillatory Motion and Waves", section 16.2 Period and Frequency in Oscillations_
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