The frequency of a wave having a period of 3 microseconds is approximately what?

To determine the frequency of a wave from its period, the relationship used is given by the formula:

[

\text{Frequency} (f) = \frac{1}{\text{Period} (T)}

]

In this case, the period provided is 3 microseconds (microsecond is (10^{-6}) seconds). First, converting the period to seconds:

[

T = 3 \times 10^{-6} \text{ seconds}

]

Now, substituting this value into the formula to find the frequency:

[

f = \frac{1}{3 \times 10^{-6}}

]

Calculating that gives:

[

f \approx 333,333.33 \text{ Hz} \text{ or } 333.33 \text{ kHz}

]

Rounding this, we find that the frequency is approximately 333.33 kHz. This value corresponds closely to the choice that indicates 333.33 kHz, affirming it as the correct answer.

Understanding this relationship between period and frequency is crucial in wave mechanics as it allows engineers and technicians to analyze and design systems where wave behavior is significant, such as in communications and signal processing.