Q.Four displacement-time ($x$-$t$) plots for the linear motion of a particle are described below. In each plot $x$ is on the vertical axis and time $t$ (in seconds) on the horizontal axis. State which plots represent periodic motion and give the period in each periodic case.

Frequency and Period: The Rhythm of Repetition

Imagine a child on a swing, going back and forth. Each full cycle — forward, backward, back to the start — takes a certain amount of time. That time is the period. Now count how many such cycles happen in one second — that count is the frequency. Frequency and period describe the same repeating rhythm, just viewed from two different angles.

Everyday Intuition

Think of your own heartbeat. At rest, your heart beats roughly once every second. The period is about 1 second — the time between one beat and the next. The frequency is about 1 beat per second — how many beats occur in that same second.

If your heart speeds up, the period shrinks (less time between beats) and the frequency rises (more beats per second). Slow the heart down, and it's the reverse.

Precise Definitions

Period ($T$) — the time taken to complete one full cycle of a repeating event, measured in seconds (s).

Frequency ($f$) — the number of complete cycles occurring per unit time, measured in hertz (Hz), where 1 Hz = 1 cycle per second.

Worked Example

A pendulum completes 5 full swings in 10 seconds.

• Frequency: $f = \dfrac{5 \text{ cycles}}{10\text{ s}} = 0.5\text{ Hz}$
• Period: $T = \dfrac{1}{f} = \dfrac{1}{0.5} = 2\text{ s}$

Check: in 2 seconds you get one cycle, so in 10 seconds you get 5 cycles — consistent.

Where You'll Meet This

Why This Matters

Frequency and period are the basic language of anything that repeats — oscillations, waves, rotations, alternating circuits. When you read "50 Hz" for household AC supply, you now know the voltage completes 50 full cycles every second, each cycle lasting 0.02 s. When a problem gives "period = 2 s" for a pendulum, you know one full swing takes 2 seconds.

Key takeaway: period is time-per-cycle, frequency is cycles-per-time — reciprocals of each other, always.

If you've searched "Frequency And Period class 11 physics notes" or "Frequency And Period NCERT solutions", this page covers exactly that ground — the concept is a standard part of the Class 11 Physics NCERT/CBSE syllabus. It also carries real weight in JEE Main, NEET and state engineering/medical entrance exams, where questions on frequency and period test both conceptual understanding and calculation speed.