Discussion
The frequency of the periodic wave for the following figure is
Answer: B
The frequency is 0.25 MHz.
The waveform repeats every time it returns to the same point in its cycle. One pulse rises at t = 2 microseconds and the next rises at t = 6 microseconds, so one full cycle (one high part plus one low part) lasts 4 microseconds:
\[ \begin{aligned} T &= 6 - 2 = 4\ \mu\text{s} \\ f &= \frac{1}{T} = \frac{1}{4 \times 10^{-6}} \\ &= 2.5 \times 10^{5}\ \text{Hz} = 0.25\ \text{MHz} \end{aligned} \]
The common mistake is to take the width of a single pulse, 2 microseconds, as the period, giving 0.5 MHz. A period of 1 microsecond would give 1 MHz, which does not fit the figure.
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