The period of a wave is

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time required to complete one cycle

Explanation: The period (or time period) of a periodic wave is defined as the duration required for the wave to complete exactly one full cycle of oscillation. It is the reciprocal of the frequency, representing the time elapsed between two consecutive identical points on the waveform.

Working Principle: In an alternating waveform, a cycle represents the set of all values attained by the wave before it begins to repeat itself. If a wave oscillates at a frequency $f$, the duration of one cycle is calculated as the inverse of $f$. This time interval is constant for periodic signals and is measured in seconds.

Key Formulas: $T = \frac{1}{f}$ — Relation between period and frequency; $f = \frac{1}{T}$ — Relation between frequency and period

Key Points: The SI unit of the period is the second (s).; Frequency represents the number of cycles completed in one second, measured in Hertz (Hz).; A higher frequency results in a shorter time period.; The period is a fundamental parameter in the analysis of AC signals and power systems.

Advantages: Facilitates the calculation of instantaneous values in AC circuits.; Essential for determining the phase relationship between voltage and current.

Applications: Power system frequency analysis (50Hz/60Hz grids).; Signal processing and telecommunications.; Oscilloscope time-base calibration.

Additional Info: For standard Indian power lines, $f = 50 	ext{ Hz}$, which gives a period of $T = \frac{1}{50} = 0.02 	ext{ seconds}$ or $20 	ext{ ms}$.. Option A is incorrect because frequency and period are inverses, not identical. Option C is incorrect as amperes is the unit for current, not time.

Answer: B is correct — The period is the fundamental time interval required for a periodic waveform to complete exactly one cycle.

Exam Tip: Always remember that $T$ and $f$ have an inverse relationship; if one increases, the other must decrease proportionally.

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