Physics Waves Overview

Waves are nature's way of moving energy from one place to another without moving matter itself. Think of throwing a stone into a pond - the ripples carry energy outward, but the water itself doesn't travel with the wave.

There are two main types you need to know. Transverse waves vibrate at right angles to the direction the energy travels - like waves on a string or electromagnetic waves (including light and radio). Longitudinal waves vibrate in the same direction as the energy transfer, with sound waves being the perfect example.

Quick Tip: Remember transverse = "T" for "across" (perpendicular), longitudinal = "L" for "lengthwise" (parallel).

The substance waves travel through is called the medium - this could be water, air, or even solid materials like steel.

Wave Characteristics and Measurements

Every wave has specific features you can measure. Amplitude is the height from the centre line to the peak - it tells you how much energy the wave carries. Wavelength (λ) is the distance between identical points on consecutive waves, like crest to crest.

Frequency measures how many waves pass a point each second, measured in hertz (Hz). A 5 Hz wave means 5 waves pass by every second. The period is simply how long one complete wave takes to pass - it's the opposite of frequency.

For transverse waves, these measurements are easy to spot on a diagram. With longitudinal waves, you measure between compressions (squeezed parts) instead of crests.

Exam Focus: You'll often need to count waves on diagrams and measure distances, so practice reading wave graphs carefully.

Frequency and Period Calculations

The relationship between frequency and period is straightforward: f = 1/T. As frequency increases, period decreases - they're inversely related. If you know one, you can always find the other.

Use f = N/t to calculate frequency when you know how many waves (N) pass in a certain time $t$. For example, if 15 waves pass in 3 seconds, the frequency is 15 ÷ 3 = 5 Hz.

Period calculations are equally simple. A 1000 Hz sound wave has a period of 1/1000 = 0.001 seconds. High-frequency waves like radio signals have tiny periods, whilst low-frequency waves have longer periods.

Calculator Tip: For very small numbers, your calculator will show scientific notation (like 6.7 × 10⁻⁵), so get comfortable with this format.

Wave Speed and the Wave Equation

Wave speed uses the familiar distance-time relationship: v = d/t. But waves have a special equation that connects speed, frequency, and wavelength: v = fλ. This is probably the most important wave equation you'll use.

Here's the key insight: if wave speed stays constant, frequency and wavelength are inversely related. Double the frequency, and you halve the wavelength. It's like fitting more waves into the same space.

Practice rearranging the wave equation: v = fλ, f = v/λ, and λ = v/f. Most exam questions will give you two values and ask for the third.

Success Strategy: Always convert units first (mm to m, kHz to Hz) before plugging numbers into equations - it prevents most calculation errors.

Sound Waves and Speed

Sound is a longitudinal wave that needs particles to travel - that's why there's no sound in space! Sound travels through solids, liquids, and gases, but at very different speeds.

In air, sound travels at 340 m/s, but this changes with temperature and humidity. Sound moves much faster through solids like steel $5200 m/s$ because particles are closer together, making energy transfer more efficient.

The classic experiment for measuring sound speed uses two microphones and an electronic timer. You measure the distance between microphones, time how long sound takes to travel between them, then use v = d/t.

Real-World Connection: This is why you see lightning before hearing thunder - light travels much faster than sound through air.

The data sheet in your exam will give you sound speeds for different materials, so you don't need to memorise them all.