MIDDLE SCHOOL PHYSICAL SCIENCE (NEXT GENERATION SCIENCE STANDARDS) • WAVES AND THEIR APPLICATIONS

Describe how waves can be used to transmit information

From radio broadcasts to fiber optics, waves carry the signals that connect our world.

A History of Sending Messages with Waves

Humans have always wanted to send messages over long distances. For thousands of years, people used fire signals and drumbeats. These early methods relied on light and sound — both forms of waves. Over the past two centuries, scientists and engineers figured out how to use waves to carry detailed information, like voices and images, across the entire planet.

1837
The Electric Telegraph
Samuel Morse developed the telegraph, which sent coded electrical pulses through wires. Short and long pulses (dots and dashes) represented letters. This was one of the first systems to encode information as a signal.
1895
Radio Waves Discovered for Communication
Guglielmo Marconi sent the first radio signals through the air using electromagnetic waves. For the first time, messages could travel without wires.
1947
Television Broadcasts Expand
TV stations began transmitting both picture and sound information using radio waves. Millions of homes received moving images carried through the air.
1970s
Fiber Optic Cables
Engineers developed thin glass fibers that carry information using pulses of light. Fiber optics made it possible to send huge amounts of data at incredible speed.
2000s
The Digital Age
Wi-Fi, cellular networks, and streaming services use digital signals carried by electromagnetic waves. Today, most information is transmitted as patterns of 1s and 0s.

From Morse code to streaming video, every step forward depended on one big idea: waves can carry information from one place to another. But how exactly does a wave "carry" a message? That is the question this lesson explores.

Core Principles of Wave-Based Communication

Before we can understand how waves carry information, we need a few key ideas. A wave is a disturbance that transfers energy from one place to another without moving matter along with it. Waves have properties like frequency (how many wave cycles pass a point each second), wavelength (the distance from one wave crest to the next), and amplitude (the height of the wave, related to its energy). These properties can be changed, or modulated, to encode information onto the wave.

1

Waves Transfer Energy, Not Matter

When you shout across a field, the air molecules vibrate in place. They don't travel to your friend — the wave pattern does. Information rides on that energy transfer.
2

Encoding Means Adding a Pattern

To send a message, you change something about the wave — its amplitude, frequency, or timing. The receiver reads those changes and decodes the message.
3

Analog vs. Digital Signals

An analog signal changes smoothly, like a voice on a telephone. A digital signal uses only two states — ON and OFF (1 and 0) — to represent data. Digital signals resist noise better.
4

Many Types of Waves Carry Information

Sound waves carry your voice. Radio waves carry music. Light waves carry internet data through fiber optics. Electromagnetic waves don't need a medium to travel.
KEY TAKEAWAY
Think of a wave like a delivery truck driving down a highway. The truck (wave) carries packages (information) from the warehouse to your house. The highway itself doesn't move, and the truck doesn't become the packages — it just carries them. In the same way, a wave carries an encoded signal from a sender to a receiver.

How Information Rides on a Wave

The diagram below shows two common ways to encode information onto a wave. The top row shows an analog signal, where the wave smoothly changes its amplitude to match the original sound. The bottom row shows a digital signal, where the wave is converted into a series of ON/OFF pulses (1s and 0s). Notice how the digital signal has only two levels. This makes it easier to tell apart even when noise is added.

The analog wave (cyan) changes smoothly in amplitude, matching the original sound pattern. The digital wave (pink) snaps between two values — 1 and 0. Even if noise distorts the digital signal slightly, the receiver can still tell 1 from 0, making digital signals more reliable.

Look at the analog wave first. Its height changes continuously — it can be any value between the highest and lowest points. Now look at the digital wave. It only has two positions: high (1) and low (0). When noise or interference messes up the signal a little, the analog wave gets permanently distorted. But the digital wave can still be read correctly because the receiver only needs to decide: is this a 1 or a 0? This is a key reason why digital signals are more reliable than analog signals for transmitting information.

The Wave Equation — Connecting Speed, Frequency, and Wavelength

📐 NGSS Alignment Note
The wave equation (v = f × λ) connects to performance expectation MS-PS4-1, which asks you to use mathematical representations to describe waves. The information-transmission focus of this lesson connects to MS-PS4-3. This section builds your math skills for understanding wave behavior.

Waves that carry information travel at a certain speed. That speed depends on the type of wave and the material it moves through. There is a simple equation that connects a wave's speed, frequency, and wavelength.

WAVE EQUATION
v = f × λ
v = wave speed (meters per second, m/s) • f = frequency (hertz, Hz) • λ (lambda) = wavelength (meters, m)

You can rearrange this equation to solve for any variable. If you know the speed and wavelength, you can find frequency. If you know the speed and frequency, you can find wavelength.

SOLVE FOR FREQUENCY
f = v ÷ λ
Divide wave speed by wavelength to find how many cycles pass per second.
SOLVE FOR WAVELENGTH
λ = v ÷ f
Divide wave speed by frequency to find the length of one complete wave cycle.

For electromagnetic waves (like light, radio, and microwaves), the speed in empty space is always about 300,000,000 m/s — that's the speed of light! Sound waves are much slower. Sound travels through air at about 343 m/s.

The Electromagnetic Spectrum — Waves for Every Job

Not all electromagnetic waves are the same. They come in a wide range of frequencies and wavelengths. Scientists organize them into the electromagnetic spectrum (a chart of all electromagnetic wave types arranged by frequency and wavelength). Different parts of the spectrum are useful for different kinds of information transfer.

The Electromagnetic Spectrum
Radio
Microwave
Infrared
Visible
Ultraviolet
X-ray
Gamma
Low frequency / Long wavelengthHigh frequency / Short wavelength
Different types of waves serve different communication purposes. Radio waves travel far and pass through walls, making them great for broadcasts. Microwaves are used for cell phones and Wi-Fi. Light waves in fiber optics carry the most data because they operate at very high frequencies, giving them enormous bandwidth.

Notice the pattern (Crosscutting Concept): waves with higher frequencies can generally carry more information per second. This idea is called bandwidth (the range of frequencies a channel can use, which determines how much data it can carry per second). A fiber optic cable using light can carry far more data than a copper wire carrying electrical signals, mostly because light operates at enormously higher frequencies (around 1014 Hz) compared to electrical signals in copper (around 109 Hz). This higher carrier frequency allows a much wider bandwidth.

Worked Example — Finding the Wavelength of a Radio Station

Let's use the wave equation to solve a real problem. This example connects to MS-PS4-1 (using mathematical representations to describe waves).

What is the wavelength of a radio station that broadcasts at 100,000,000 Hz?
1
Step 1 — Identify What You KnowThe frequency is f = 100,000,000 Hz (that's 100 MHz, a typical FM station). Radio waves are electromagnetic waves, so their speed is v = 300,000,000 m/s (the speed of light).
2
Step 2 — Choose the Right EquationWe want wavelength (λ). Rearrange the wave equation: λ = v ÷ f.
3
Step 3 — Substitute the Valuesλ = 300,000,000 m/s ÷ 100,000,000 Hz
4
Step 4 — Calculateλ = 300,000,000 ÷ 100,000,000 = 3
λ = 3 meters
5
Step 5 — Interpret the AnswerEach radio wave from this station is about 3 meters long — roughly the width of a small car! That's why radio antennas can be quite large. The wavelength tells engineers how to design equipment to receive the signal.

Analog vs. Digital — Strengths and Limitations

Both analog and digital signals can carry information using waves. But they have different strengths and weaknesses. This connects to NGSS performance expectation MS-PS4-3, which asks you to support the claim that digitized signals are a more reliable way to encode and transmit information.

Comparison of analog and digital signal properties
FeatureAnalog SignalDigital Signal
Signal shapeSmooth, continuous waveSquare pulses (ON/OFF, 1/0)
Effect of noiseNoise adds permanently to the signal; hard to removeNoise can be filtered; receiver only checks for 1 or 0
Copying qualityCopies lose quality (like photocopying a photocopy)Copies are identical (1s and 0s don't degrade)
Data capacityLimited; one channel per signalCan compress and multiplex many signals together
ExampleOld vinyl records, AM radioMP3 files, streaming video, Wi-Fi
KEY TAKEAWAY
Imagine you need to send a secret message to a friend across a noisy cafeteria. An analog signal is like whispering a sentence — every little bit of background noise gets mixed in, and your friend might hear "pass the ketchup" as "class the setup." A digital signal is like holding up cards that say YES or NO. Even in a noisy room, your friend can tell which card you're holding. That's why digital signals are more reliable!

Looking Ahead — Waves in Modern Technology

The ideas you've learned in this lesson are the foundation for many advanced technologies. As you move into high school science, you'll explore these ideas in much more detail.

From middle school foundations to high school and beyond
What You Learn NowWhere It Leads
Waves carry information by changing amplitude or frequencyHigh school physics: modulation techniques (AM and FM), signal processing
Digital signals use 1s and 0sComputer science: binary code, data compression, encryption
Electromagnetic spectrum has many types of wavesAdvanced physics: quantum mechanics, photon energy, spectroscopy
v = f × λ relates wave propertiesEngineering: antenna design, telecommunications, medical imaging

Today's 5G cell networks, satellite internet, and even self-driving cars all depend on waves transmitting information. Engineers carefully choose which type of wave to use for each job. They consider cause and effect (Crosscutting Concept): what happens to the signal when it passes through buildings, rain, or long distances? Understanding wave behavior helps engineers solve these real-world problems.

Practice Problems

PROBLEM 1CONCEPTUAL
A student says, "When I listen to the radio, the radio station sends air molecules from the studio to my house." Which response best corrects this misconception? (SEP: Constructing Explanations; CCC: Energy and Matter) A) The radio station sends light waves that your ears detect. B) Radio waves transfer energy through space, but the molecules in the studio stay where they are. Your radio antenna receives the wave's energy and converts it into sound. C) Sound waves from the studio travel through the air to your radio. D) The radio station sends electrons through the air that carry the sound.
PROBLEM 2BASIC CALCULATION (MS-PS4-1 EXTENSION)
A microwave oven uses electromagnetic waves with a frequency of 2,450,000,000 Hz. If electromagnetic waves travel at 300,000,000 m/s, what is the wavelength of these microwaves? (SEP: Using Mathematics; CCC: Scale, Proportion, and Quantity) A) 0.12 m B) 8.2 m C) 1.22 m D) 0.012 m
PROBLEM 3INTERMEDIATE (MS-PS4-1 EXTENSION)
A sound wave travels through water at 1,500 m/s. If the wavelength of the sound is 0.5 m, what is the frequency? (SEP: Using Mathematics; CCC: Patterns) A) 750 Hz B) 3,000 Hz C) 1,500 Hz D) 30,000 Hz
PROBLEM 4APPLIED
An internet company is deciding between copper wires and fiber optic cables to connect a new neighborhood. A student claims, "Fiber optic cables can transmit more data per second than copper wires because light waves have a much higher carrier frequency than electrical signals." Which statement best evaluates this claim? (SEP: Engaging in Argument from Evidence; CCC: Cause and Effect) A) The claim is wrong because light waves are mechanical waves and cannot carry data. B) The claim is correct. Light waves in fiber optics operate at carrier frequencies around 10¹⁴ Hz, while electrical signals in copper operate around 10⁹ Hz. This higher carrier frequency allows a much wider bandwidth — meaning more data can be transmitted per second. C) The claim is wrong because copper wires and fiber optics carry the same amount of data. D) The claim is correct only because light in fiber optics travels much faster than electrical signals in copper wire.
PROBLEM 5CRITICAL THINKING
NASA engineers send digital commands to a Mars rover using radio waves. Mars is about 225,000,000 km from Earth. If radio waves travel at the speed of light (300,000 km/s), how long does it take for a command to reach Mars? Why might engineers prefer digital signals over analog signals for this mission? (SEP: Constructing Explanations; CCC: Stability and Change) A) About 1.25 minutes; digital signals are preferred because they are louder. B) About 12.5 minutes; digital signals are preferred because they can be perfectly reconstructed even after picking up noise during the long journey through space. C) About 125 minutes; digital signals are preferred because they travel faster than analog signals. D) About 12.5 minutes; digital signals are preferred because they don't need waves to travel.

Lesson Summary

Waves are the foundation of modern communication. Waves transfer energy without transferring matter, and engineers encode information by changing a wave's amplitude, frequency, or timing. The wave equation (v = f × λ) connects speed, frequency, and wavelength, helping us understand how different waves behave. The electromagnetic spectrum includes radio waves, microwaves, infrared, visible light, and more — each type suited to specific communication tasks.

Digital signals (patterns of 1s and 0s) are more reliable than analog signals (smooth, continuous waves) because digital signals can be reconstructed even after noise is added. This is why most modern technology — from Wi-Fi and cell phones to fiber optic internet — uses digital encoding. Waves with higher carrier frequencies offer greater bandwidth, allowing more information to be transmitted each second. Understanding waves and how they carry information is essential for the technologies you use every day.

Varsity Tutors • Middle School Physical Science (Next Generation Science Standards) • Describe how waves can be used to transmit information