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What is the frequency of an oscillation with a period of .5 seconds?

  1. 0.5 Hz

  2. 1 Hz

  3. 2 Hz

  4. 4 Hz

The correct answer is: 2 Hz

The frequency of an oscillation is calculated as the reciprocal of the period. The formula to find frequency is: \[ \text{Frequency (f)} = \frac{1}{\text{Period (T)}} \] In this case, the period is 0.5 seconds. By applying the formula: \[ f = \frac{1}{0.5 \, \text{seconds}} = 2 \, \text{Hz} \] This result indicates that the oscillation completes 2 cycles in one second, which corresponds to a frequency of 2 Hz. Hence, the correct answer is based on accurately applying this fundamental relationship between period and frequency.