Physics / core

Frequency

Also known as: f, pitch

definition

The number of complete wave cycles that pass a fixed point per second, measured in hertz (Hz). Determines the pitch of sound, the color of visible light, and the energy of photons.

💡 Intuition

How many times something vibrates per second—high frequency means very rapid vibration.

Core Idea

Frequency and period are reciprocals — doubling the frequency halves the period.

Formal View

Frequency is defined as f = \frac{1}{T} = \frac{\omega}{2\pi}, where T is the period and \omega is the angular frequency. For a travelling wave, f = v / \lambda.

🔬 Example

Middle C on a piano vibrates at 262 Hz, meaning 262 complete cycles per second.

🎯 Why It Matters

Determines the pitch of sound, the color of visible light, and the energy of photons.

⚠️ Common Confusion

Hertz (Hz) means 'cycles per second'—it's a rate of repetition, not a total count.

💭 Hint When Stuck

When solving a frequency problem, check whether you are given the period or the wave speed and wavelength. If given the period T, use f = 1/T. If given speed v and wavelength \lambda, use f = v/\lambda. Always express your answer in hertz (Hz).

Related Concepts

Prerequisites

Next Steps

How Frequency Connects to Other Ideas

To understand frequency, you should first be comfortable with waves. Once you have a solid grasp of frequency, you can move on to wavelength and period.

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Frequently Asked Questions

What is Frequency in Physics?

The number of complete wave cycles that pass a fixed point per second, measured in hertz (Hz).

Why is Frequency important?

Determines the pitch of sound, the color of visible light, and the energy of photons.

What do students usually get wrong about Frequency?

Hertz (Hz) means 'cycles per second'—it's a rate of repetition, not a total count.

What should I learn before Frequency?

Before studying Frequency, you should understand: waves.

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