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Cambridge Primary Checkpoint · Science 0097 · Stage 6 · Physics

Light: Reflection and Refraction

How a ray of light changes direction when it reflects from a plane mirror (angle of incidence = angle of reflection) and when it passes from one medium into another (refraction).

British & IGCSE › Checkpoint 6 › Checkpoint 6 Science — Complete Course

In the curriculum
  • Describe how a ray of light changes direction when it reflects from a flat (plane) mirror (6Ps.01).
  • Describe how a ray of light changes direction when it passes from one material into another (for example from air into water or glass), and know that this is called refraction (6Ps.02).

1. Light travels in straight lines

Light comes from light sources such as the Sun, a lamp, a torch or a flame. Light travels in straight lines. We show the path of light with a ray: a straight line drawn with a ruler, with an arrow showing which way the light is going.

Most things around you are not light sources. You see a book because light from a source reflects (bounces) off the book and travels into your eyes. So in any diagram about seeing, the arrows must point from the source, to the object, and into the eye — never out of the eye.

Word / phraseMeaning / use
rayشعاع — a straight line with an arrow showing the path of light
light sourceمصدر ضوء — something that gives out its own light (the Sun, a lamp)
reflectionانعكاس — light bouncing off a surface
plane mirrorمرآة مستوية — a flat mirror
incident rayالشعاع الساقط — the ray going towards the mirror
reflected rayالشعاع المنعكس — the ray coming away from the mirror
normalالعمود المقام — an imaginary line at 90° to the surface where the ray hits
angle of incidenceزاوية السقوط — angle between the incident ray and the normal
angle of reflectionزاوية الانعكاس — angle between the reflected ray and the normal
medium (plural: media)وسط — a material light travels through: air, water, glass
transparentشفاف — lets light pass straight through (glass, clear water)
refractionانكسار الضوء — light changing direction as it passes from one medium into another
periscopeالبيريسكوب — a tube with two mirrors used to see over things

2. Reflection from a plane mirror

When a ray of light hits a plane mirror it changes direction and bounces off. A plane mirror is very smooth, so it reflects light in a neat, predictable way. To describe the direction we draw the normal: a dashed line at 90° to the mirror at the point where the ray hits. Then we measure both angles from the normal.

i = 40°r = 40°normal (at 90° to the mirror)incident rayreflected rayplane mirrorangle of incidenceangle of reflection
Reflection from a plane mirror. The angle of incidence (i) and the angle of reflection (r) are both 40°.
The law of reflection

angle of incidence = angle of reflection, both measured from the normal. The incident ray and the reflected ray are on opposite sides of the normal.

  • A ray that hits the mirror along the normal (angle of incidence 0°) reflects straight back the way it came.
  • A ray with a bigger angle of incidence gives an equally bigger angle of reflection: 20° → 20°, 55° → 55°.
  • Smooth, shiny surfaces (mirrors, still water, polished metal) reflect light regularly, so you see a clear image. Rough surfaces (paper, cloth) scatter the light in all directions, so no image forms — but you can still see the paper because some of that scattered light reaches your eye.
Mountains and forest reflected in a perfectly still lake
Still water is very smooth, so it reflects light regularly, like a plane mirror, and we see a clear upside-down image of the mountains and trees.Photo: Pseudopanax at English Wikipedia / Wikimedia Commons, public domain

How to draw a reflected ray — step by step

  1. Mark the point where the incident ray meets the mirror.
  2. Draw the normal with a ruler and protractor: a dashed line at 90° to the mirror through that point.
  3. Measure the angle of incidence between the incident ray and the normal (not the mirror).
  4. On the other side of the normal, measure the same angle and draw the reflected ray with a ruler.
  5. Add arrows: towards the mirror on the incident ray, away from the mirror on the reflected ray.
Trap: the angle to the mirror

If a question gives the angle between the ray and the mirror surface, subtract it from 90° first. A ray at 70° to the mirror has an angle of incidence of 90° − 70° = 20°, so the angle of reflection is 20°.

3. Using mirrors: the periscope and mirror images

A periscope lets you see over a wall or out of a submarine. It is a tube with two plane mirrors, each at 45°. Light from the object hits the top mirror and is reflected down the tube (it turns through 90°). It then hits the bottom mirror and is reflected through 90° again, out into your eye.

objecteyemirror at 45°mirror at 45°tube
A periscope. Each mirror turns the light through 90°.

Your image in a plane mirror is the same size as you, the same distance behind the mirror as you are in front, the right way up, but reversed left to right: lift your right hand and the image lifts its left hand. This is why some ambulances have the word AMBULANCE written backwards on the front — drivers in front read it the right way round in their mirrors.

4. Refraction: light bending between media

Light travels at different speeds in different media: fastest in air, slower in water, slower still in glass. When a ray passes from one transparent medium into another at an angle, the change of speed makes it change direction at the boundary. This bending is called refraction.

glassairnormalbends towardsthe normalbends away fromthe normalray inray out
A ray passing through a glass block. It bends towards the normal as it enters the glass and away from the normal as it leaves. It comes out parallel to the ray that went in.
The ray goes…What happens
from air into glass or water (into a slower medium), at an anglebends towards the normal
from glass or water into air (into a faster medium), at an anglebends away from the normal
along the normal (hitting the surface at 90°)goes straight on — no change of direction
A narrow beam of light passing through a glass block on a table
A real ray of light through a glass block: it bends towards the normal as it enters the glass, away from the normal as it leaves, and comes out parallel to the ray that went in.Photo: ajizai / Wikimedia Commons, public domain

Refraction explains many everyday things:

  • A straw in a glass of water looks bent or broken at the water surface.
  • A swimming pool or a pond looks shallower than it really is — be careful before jumping in.
  • Your legs look shorter when you stand in a pool.
  • Lenses in glasses, magnifying glasses, cameras and microscopes are shaped so that refraction bends the light to make clear or bigger images.
  • The "coin trick" below.
A red pencil in a glass of water that looks broken at the water surface
The pencil looks bent at the water surface because light from the part under water is refracted as it passes from the water into the air.Photo: Meganbeckett27 / Wikimedia Commons, CC BY-SA 3.0
Empty cup: the wallblocks the lightWater added: light bends atthe surface and reaches the eye
The coin trick. With water in the cup, light from the coin bends away from the normal as it leaves the water, so it can reach the eye over the rim.

5. Reflection or refraction?

ReflectionRefraction
What happenslight bounces off a surfacelight passes into a new medium and bends
Where the light ends upback on the same side as it came fromon the other side of the boundary
Ruleangle of incidence = angle of reflectiontowards the normal into glass/water; away from the normal into air
Examplesmirror, periscope, shiny spoon, still lakebent straw, shallow-looking pool, lenses
بالعربي — الفرق بين الانعكاس والانكسار
  • الانعكاس (reflection): الضوء يخبط في المراية ويرجع. القاعدة: زاوية السقوط = زاوية الانعكاس، والزاويتين بتتقاسوا من العمود (normal) مش من المراية.
  • لو الزاوية مدياها مع المراية نفسها، اطرحها من 90° الأول.
  • الانكسار (refraction): الضوء يعدّي من وسط لوسط (هوا ← مية أو زجاج) فيتكسر ويغير اتجاهه لأن سرعته بتتغير.
  • داخل للزجاج أو المية: يقرّب من العمود. خارج للهوا: يبعد عن العمود. لو داخل على العمود بالظبط: يكمل مستقيم.

6. Worked examples

Worked example 1 — A ray of light hits a plane mirror. The angle of incidence is 35°. (a) What is the angle of reflection? [1] (b) What is the angle between the incident ray and the reflected ray? [1]

Answer: (a) 35° (angle of incidence = angle of reflection). (b) Both angles are measured from the normal on opposite sides, so the total is 35° + 35° = 70°.

Worked example 2 — A ray makes an angle of 60° with the surface of a mirror. Work out the angle of reflection. Show your working. [2]

60°mirror
The 60° is measured between the ray and the mirror, not the normal.

Working: angle of incidence = 90° − 60° = 30° (1 mark). Angle of reflection = angle of incidence = 30° (1 mark). Common mistake: answering 60° — that angle is measured from the mirror, not the normal.

Worked example 3 — Explain how a periscope lets Karim see a football match over a high wall. [2]

Answer: Light from the match hits the top mirror and is reflected down the tube (1 mark). It is then reflected by the bottom mirror, out of the tube into Karim's eye (1 mark). (Extra detail that shows understanding: the mirrors are at 45°, so each turns the light through 90°.)

Worked example 4 — A ray of light travels from air into a glass block at an angle. Ring the correct word in each sentence. [2]

  • The ray bends towards / away from the normal as it enters the glass. → towards (it slows down).
  • The ray bends towards / away from the normal as it leaves the glass into the air. → away from (it speeds up).
  • What is the name of this bending of light? → refraction.

Worked example 5 — Explain why a coin at the bottom of a cup appears when water is poured in. [2]

Answer: Light from the coin is refracted (bends) when it passes from the water into the air (1 mark). It bends away from the normal, so it passes over the rim of the cup and reaches the eye (1 mark). Common mistake: saying the coin "floats up" — the coin does not move, only the light changes direction.

Worked example 6 (investigation) — Hana shines a ray from a ray box at a plane mirror and measures the angles with a protractor.

Angle of incidence (°)2030405060
Angle of reflection (°)2031404945
  1. (a) Describe the pattern. [1] → The angle of reflection is (about) equal to the angle of incidence.
  2. (b) Which result is anomalous? [1] → 45° (for 60°) — it should be about 60°.
  3. (c) Suggest why 31° and 49° are not exactly 30° and 50°. [1] → small errors in drawing the ray or reading the protractor (the ray is quite wide).
  4. (d) How could Hana make her results more reliable? [1] → repeat each measurement and use a narrow ray / sharp pencil; repeat the anomalous one.
Common mistakes
  • Measuring angles from the mirror or the glass surface instead of from the normal.
  • Drawing rays with no arrows, or with arrows coming out of the eye.
  • Drawing rays freehand — always use a ruler; light travels in straight lines.
  • Mixing up the words: reflection = bounces off; refraction = bends as it passes into a new medium.
  • Saying a ray that enters glass along the normal is bent — at 90° to the surface it goes straight on.
  • Getting "towards" and "away from" the normal the wrong way round. Into glass or water: towards. Out into air: away.
How Checkpoint asks this
  • Complete the ray diagram: draw the reflected ray with a ruler and protractor; add the normal and arrows.
  • Give the angle: angle of reflection, the angle between the two rays, or the angle from a ray to the mirror (watch for the 90° trap).
  • Ring the correct word / complete the sentence: towards / away from the normal; reflection / refraction.
  • Explain an everyday effect: bent straw, shallow pool, coin trick, periscope — name the process and say where the light changes direction.
  • Investigation with a ray box: describe the pattern in a results table, spot the anomalous angle, suggest improvements (repeat, use a narrow ray).

Practice

Remember
  • Light travels in straight lines; draw rays with a ruler and arrows.
  • Plane mirror: angle of incidence = angle of reflection, both measured from the normal.
  • Angle given to the mirror? Subtract from 90° first.
  • Refraction = light changing direction as it passes from one medium to another (air, water, glass).
  • Into glass/water: bends towards the normal. Out into air: bends away from the normal. Along the normal: no bend.
  • Uses and effects: periscope (two 45° mirrors), bent straw, shallow-looking pool, lenses.
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