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📘 Grade 9 Science · Quarter 2

Electromagnetic Waves

Light, radio, X-rays, the heat from the sun — they are all the same thing travelling at the same speed. This lesson takes you from what a wave is all the way to the full spectrum, with things you can drag, slide, and test yourself on.

10 sections
~25 min read time
12 quiz items
12 flashcards
⌨️

Use ← → arrow keys to move between sections. Your progress saves automatically on this computer.

Section 01

What is a wave?

A wave is a disturbance that carries energy from one place to another — without carrying the material along with it. Drop a stone in a puddle: the ripple travels outward, but the water itself just bobs up and down.

Family 1

Mechanical Waves

They need a medium — solid, liquid, or gas — to travel.

  • Sound waves (need air)
  • Water waves
  • Waves on a guitar string
  • Earthquake waves
Family 2

Electromagnetic Waves

They need no medium at all. They travel through empty space.

  • Radio, microwaves, infrared
  • Visible light
  • UV, X-rays, gamma rays
  • Sunlight crossing 150 million km of vacuum
💡

Tandaan

In space, no one can hear you scream — but they can see you. Sound is mechanical and dies in a vacuum. Light is electromagnetic and sails right through. Iyan ang pinakamalaking pagkakaiba.

Try it: the parts of a wave

Move the sliders and watch the wave change. Notice what happens to the number of waves on screen when you shorten the wavelength.

Wave Anatomy Simulator
Amplitude 60
Height of the crest — how intense the wave is.
Wavelength (λ) 220 px
Distance from one crest to the next.
Waves on screen
Relative frequency
Relative energy
Closest band
⛰️

Crest

The highest point of the wave.

🕳️

Trough

The lowest point of the wave.

↔️

Wavelength

Crest to crest, in metres.

↕️

Amplitude

Rest line to crest — the energy carried.

Section 02

How an EM wave is made

Shake an electric charge back and forth. The moving charge makes a changing electric field. A changing electric field creates a changing magnetic field — which creates another electric field, and so on. The two fields keep regenerating each other and the whole package flies off through space.

Electric & Magnetic Fields
Speed of the shaking charge Normal
Shake it faster and the wave gets shorter — that is exactly how you climb the spectrum from radio up to gamma.

Perpendicular

The electric field (red) and magnetic field (blue) are at right angles to each other and to the direction of travel.

〰️

Transverse

The vibration is sideways to the travel direction. Every EM wave is transverse — never longitudinal like sound.

🚀

Always 3 × 10⁸ m/s

In a vacuum, every EM wave moves at the speed of light. Radio is not slower than gamma — only its wavelength is longer.

The people who figured it out

Year Scientist Contribution
1666 Isaac Newton Split white light into ROYGBIV using a prism.
1800 William Herschel Found infrared — the first invisible light ever detected.
1801 Johann Ritter Found ultraviolet, just past the violet end.
1865 James Clerk Maxwell Predicted mathematically that electric and magnetic fields travel together as waves — at the speed of light.
1887 Heinrich Hertz Produced and detected radio waves, proving Maxwell right.
1895 Wilhelm Röntgen Discovered X-rays and imaged the bones of his wife's hand.
Section 03

Wave properties & the formula

Three numbers describe any wave: how long it is, how often it repeats, and how tall it is. One equation ties the first two to the speed of light.

λ

Wavelength

Symbol λ (lambda). Measured in metres (m). Crest to crest.

ƒ

Frequency

Symbol f. Measured in hertz (Hz). Waves per second.

A

Amplitude

Height of the crest. Sets brightness or loudness, not colour.

c = ƒ × λ

speed of light = frequency × wavelength  ·  c = 3 × 10⁸ m/s

Solve for speed
c = ƒλ
Solve for frequency
ƒ = c ÷ λ
Solve for wavelength
λ = c ÷ ƒ
💡

Tandaan — the seesaw rule

Because c never changes, frequency and wavelength sit on a seesaw. Long wavelength → low frequency → low energy. Short wavelength → high frequency → high energy. That single sentence explains why gamma rays are dangerous and radio waves are not.

Try it: the c = fλ calculator

Pick what you want to find, type the numbers you know, and check your work.

Formula Solver
Answer
Enter a value to begin

                  

Worked example

Problem: A radio station broadcasts at 92.3 MHz. What is the wavelength of its signal?

Given:   f = 92.3 MHz = 92.3 × 10⁶ Hz = 9.23 × 10⁷ Hz
         c = 3 × 10⁸ m/s
Find:    λ
Formula: λ = c ÷ f
Solve:   λ = (3 × 10⁸) ÷ (9.23 × 10⁷)
         λ = 3.25 m

Answer: about 3.25 metres — roughly the height of a basketball ring. That is one single wave of the song you are hearing.

Section 04

The electromagnetic spectrum

The electromagnetic spectrum is the complete range of EM waves, arranged by wavelength and frequency. Click any band below to open it.

← Longer wavelength · Lower frequency · Lower energy Shorter wavelength · Higher frequency · Higher energy →
🧠

Memory trick

Roman Men Invented Very Unusual X-ray Gadgets
= Radio · Microwave · Infrared · Visible · Ultraviolet · X-ray · Gamma
Mula mahaba papuntang maikli ang wavelength.

All seven, side by side

Band Wavelength Frequency Main use
Section 05

Uses vs dangers

Every EM wave is a tool and a hazard at the same time — it depends on how much energy it carries and how long you are exposed. Sort each item into the right bin.

Drag or tap to sort
✅ Beneficial Use
⚠️ Danger / Harmful Effect
0 correct · 0 wrong
Non-ionizing

Radio → Visible light

Not enough energy to knock electrons off atoms. It can still heat you (microwave, infrared) but it does not directly break DNA.

Radio Microwave Infrared Visible
Ionizing

UV → Gamma rays

Enough energy to strip electrons and damage DNA. This is the half of the spectrum that needs sunblock, lead aprons, and concrete shielding.

Ultraviolet X-ray Gamma
⚠️

Safety in real life

  • Wear sunblock and use a payong between 10 AM and 4 PM — the PH UV index is high all year.
  • Never look directly at a welding arc without a proper shield.
  • Wear the lead apron at the dental or X-ray clinic. It is not optional.
  • Do not run a microwave oven with a damaged or open door.
Section 06

EM waves around you

You have been swimming in the electromagnetic spectrum all day. Tap each scene to reveal which band is doing the work.

💡

Tandaan

Your phone is a spectrum machine: radio waves for the cell signal and Wi-Fi, infrared for the face-unlock dot projector, and visible light coming off the screen — all at once, all at 3 × 10⁸ m/s.

Section 07

Flashcard review

Twelve terms you need before the quiz. Tap a card to flip it. Cover the answers and say the definition out loud first — that is what makes it stick.

0 of 12 flipped
Section 08

Practice quiz

Twelve questions. You get an explanation after every answer — read it even when you get it right.

🔁

The questions shuffle

Every attempt reorders the items, so you cannot memorise the sequence — only the science.

🗣️

Explain it out loud

Before tapping an answer, say why in one sentence. If you cannot, you are guessing — go back to that section.

🎯

Aim for 10 / 12

Below that, revisit the spectrum and the flashcards, then try again.

Section 09

Tandaan — the whole lesson on one page

If you remember nothing else, remember these. Hit the printer icon at the top to save this page as a reviewer.

Big idea 1

Same speed, different sizes

Every EM wave travels at c = 3 × 10⁸ m/s in a vacuum. What separates radio from gamma is only wavelength and frequency.

Big idea 2

No medium needed

EM waves are made of vibrating electric and magnetic fields, perpendicular to each other. That is why sunlight crosses empty space but sound cannot.

Big idea 3

The seesaw

c = fλ. Frequency up → wavelength down. And energy follows frequency (E = hf), so short waves hit hardest.

Big idea 4

Ionizing vs non-ionizing

The line sits just past visible light. UV, X-rays and gamma carry enough energy to damage DNA. Everything below only heats.

One-page cheat sheet

Band Remember it by Watch out for
🏁

Before you close this

Say the mnemonic out loud once: Roman Men Invented Very Unusual X-ray Gadgets. Then write c = fλ and c = 3 × 10⁸ m/s on the top of your scratch paper on exam day. Half the items fall out of those two lines.