Find the period of a periodic wave that has a frequency of 0.2 Hz.Select one:a.50 secondsb.0.5 secondsc.5 secondsd.5 millisecondsClear my choice

1. Break Down the Problem

We know that the frequency (f) of a wave is the reciprocal of its period (T). The relationship is given by the formula: $T = \frac{1}{f}$ where:

• $T$ = period of the wave
• $f$ = frequency of the wave

Given that the frequency $f = 0.2$ Hz, we will use this to determine the period.

2. Relevant Concepts

To find the period of the wave, we will apply the formula mentioned above.

3. Analysis and Detail

Substituting the provided frequency into the formula: $T = \frac{1}{0.2}$ Calculating this gives: $T = 5 \text{ seconds}$

4. Verify and Summarize

Rechecking the calculation: $T = \frac{1}{0.2} = 5 \text{ seconds}$ which confirms our calculation is correct.

Final Answer

The period of the periodic wave is 5 seconds (option c).