EDEXCEL IGCSE / CERTIFICATE IN PHYSICS 3-3

Light WavesEdexcel IGCSE Physics pages 107 to 117

June 17th 2012

Content applying to Triple Science only is shown in red type on the next slide and is indicated on

subsequent slides by ‘TRIPLE ONLY’

Edexcel Specification

Section 3: Wavesd) Light and soundunderstand that light waves are transverse waves which can be reflected, refracted and diffracteduse the law of reflection (the angle of incidence equals the angle of reflection)construct ray diagrams to illustrate the formation of a virtual image in a plane mirrordescribe experiments to investigate the refraction of light, using rectangular blocks, semicircular blocks and triangular prismsknow and use the relationship: n = sin i / sin rdescribe an experiment to determine the refractive index of glass, using a glass blockdescribe the role of total internal reflection in transmitting information along optical fibres and in prismsexplain the meaning of critical angle cknow and use the relationship: n = 1 / sin c

Red type: Triple Science Only

Reflection of light

Law of Reflection

normal

angle of incidence, i

incident ray

reflected ray

angle of reflection, r mirror

The angle of incidence (i) is equal to the angle of reflection (r)

Note: Both angles are measured with respect to the ‘normal’. This is a construction line that is perpendicular to the reflecting surface at the point of incidence.

The image formed by a plane mirror

plane mirror

imageobject

normalsconstruction lines (virtual light rays)

The image produced by the plane mirror is:

1. The same size as the object2. The same distance behind the

mirror as the object is in front3. Upright (the same way up as

the object)4. Back-to-front compared with

the object (lateral inversion)5. Virtual

Virtual images

VIRTUAL images are formed where light rays only appear to come from. A virtual image cannot be cast onto a screen.

The image formed by a projector is known as a REAL image because light rays travel to it.

Choose appropriate words to fill in the gaps below:

The law of reflection states that the angle of __________ is always _______ to the angle of incidence.

Both angles are measured relative to the _________, a line that is at _______ degrees to the reflecting surface at the point of reflection.

A plane mirror forms a _______ image which is unlike a _____ image in that it cannot be cast onto a screen. The image in a plane mirror is also the same ______ and the same way up as the object.

realvirtual reflectionsizenormal equal ninety

WORD SELECTION:

real

virtual

reflection

size

normal

equal

ninety

Light Refraction

Refraction occurs when a wave changes speed as it passes from one region to another.

This speed change usually causes the wave to change direction.

Water waves slow down as they pass over from a deeper to a shallower region.

Light slows down as it passes from air into glass, perspex or water.

Refraction experimentTypical results:

angle of incidence / °

angle of refraction / °

deviation / °

0 0 0

15 10 5

30 19 11

45 28 17

60 35 25

75 40 35

No deviation occurs when the angle of incidence is zero.

Increasing the angle of incidence increases the deviation.

Refraction of light at a plane surface(a) Less to more optical dense transition (e.g. air to glass)

angle of incidence

normal

AIR GLASS

angle of refraction

Light bends TOWARDS the normal.

The angle of refraction is LESS than the angle of incidence.

(b) More to less optical dense transition (e.g. water to air)

angle of refraction

angle of incidence

normal

WATER AIR

Light bends AWAY FROM the normal.

The angle of refraction is GREATER than the angle of incidence.

object at the bottom of a pool

AIR

WATER

Why a pool appears shallow

image

normals

observer

Complete the paths of the RED light rays:

A

B

C

D

E

F

The refraction equationWhen a light ray passes from one medium to another:

n = sin i sin r

where:i is the angle of incidence in the first mediumr is the angle of refraction in the second mediumn is a constant number called the refractive index.

r

i

An experiment to find the refractive index (n) of glass

1. Set up the equipment as shown in the diagram opposite

2. For an initial angle of incidence, i of 30º trace the path of the light ray.

3. Measure the angle refraction, r.

4. Calculate the refractive index using the formula: n = sin (i) / sin (r).

5. Repeat for a range of angles between 10º and 80º.

6. Calculate the average value of n.

Question 1Calculate the refractive index when light passes from air to glass if the angle of incidence is 30° and the angle of refraction 19º.

n = sin i / sin r

= sin (30º) / sin (19º)

= 0.500 / 0.326

refractive index , n = 1.53

Question 2Calculate the angle of refraction when light passes from air to perspex if the angle of incidence is 50° and the refractive index, n = 1.50.

n = sin i / sin r

1.50 = sin (50º) / sin (r )

becomes: sin (r ) = sin (50º) / 1.50

= 0.766 / 1.50

sin (r ) = 0.511

angle of refraction = 30.7º

Question 3Calculate the angle of incidence when light passes from air to water if the angle of refraction is 20° and the refractive index, n = 1.33.

n = sin i / sin r

1.33 = sin (i) / sin 20º

becomes: sin (i) = 1.33 x sin (20º)

= 1.33 x 0.342

sin (i) = 0.455

angle of incidence = 27.1º

Complete:medium 1 medium 2 n i r

air water 1.33 50o 35.2o

glass air 0.67 30o 48.6o

water glass 1.13 59.8o 50o

air diamond 2.40 50o 18.6o

air unknown 1.53 50o 30o

Answers

prism

Dispersion Dispersion occurs when a prism splits the colours of white light into the spectrum.

This occurs because the refractive index of the glass or perspex of the prism varies with the colours of the spectrum that make up white light.

Violet has the greatest refractive index and therefore deviates the most.Red has the lowest and deviates the least.

spectrum

whitelight

Choose appropriate words to fill in the gaps below:

Refraction occurs when a wave changes ______ as it crosses the boundary between two regions. The _________ of the wave also usually changes.

Light rays deviate ________ the normal when they pass from less dense air to more dense _________. The greater the angle of incidence the greater is the _________.

Different ______ of light deviate by different amounts. Violet deviates the _____. A prism can be used to split the colours of white light into a spectrum. This is called _________.

most speeddirectiondeviation coloursperspextowards

WORD SELECTION:

dispersion

most

speed

direction

deviation

colours

perspex

towards

dispersion

Total internal reflection

Total internal reflection occurs when:

1.Light is incident on a boundary between optically more to less dense substance (for example glass to air).

2. The angle of incidence is greater than the critical angle, c for the interface.

GLASS

AIR

NORMAL

Angle of incidence greater than the critical angle:NO Refraction and TOTAL INTERNAL REFLECTION

Angle of incidence less than the critical angle: Refraction and PARTIAL reflection

Angle of incidence equal to the critical angle: Refraction at 90º and PARTIAL reflection

critical angle

Critical angle equationThe critical angle is the angle of incidence in the denser medium that results in an angle of refraction of 90º

n = 1 sin c

where:n is the refractive index of the denser medium (glass in the example opposite).c is the critical angle.

GLASS

AIR

NORMAL

critical angle

angle of refraction

= 90º

Question 1Calculate the critical angle of glass to air if the refractive index of glass is 1.5

n = 1 / sin c

= 1.0 / 1.5

= 0.67

critical angle for glass, c = 42°

Question 2Calculate the critical angle of water to air if the refractive index of glass is 1.3

n = 1 / sin c

= 1.0 / 1.3

= 0.75

critical angle for water, c = 49°

Question 3Calculate the maximum refractive index of a medium if light is to escape from it into water (refractive index = 1.3) at all angles below 30°.

n = 1 / sin c

becomes:

sin c = 1 / n

sin 30° = 1.3 / n

0.5 = 1.3 / n

= 1.3 / 0.5

maximum refractive index, n = 2.6

Uses of total internal reflection1. Prismatic periscope

Glass and perspex both have critical angles of about 42º.

In each prism the light strikes the glass-air interface at an incidence angle of 45º

Total internal reflection therefore occurs and the light ray is deviated by 90º in each prism.

2. Reflectors

The reflector is made up of many small perspex prisms arranged so that light undergoes total internal reflection twice.

The overall result is that the light is returned in the direction from which it originally came.

The reflector will be seen to be lit up from the point of view of the light source for example the driver of a car with its headlights on.

A bicycle rear reflector contains many tiny red

perspex prisms

3. Optical fibres

Optical fibre consists of two concentric layers of different types of glass, core and cladding.

Light entering the inner core always strikes the boundary of the two glasses at an angle that is greater than the critical angle.

core cladding

Optical fibre communicationOptical fibres can be used to transmit information using visible light or infra-red radiation. The light cannot escape from the fibre, it is continually reflected internally by the fibre.

Compared with microwaves and radio waves optical fibres:

can carry far more information due to the higher frequency of light and infra-red.

are more secure because the signals stay within the fibres.

The fastest broadband uses optical fibres.

The EndoscopeThe medical endoscope contains two bundles of fibres. One set of fibres transmits light into a body cavity and the other is used to return an image for observation.

Diffraction of lightDiffraction occurs when waves spread out after passing through a gap or round an obstacle.

Sea wave diffraction

TRIPLE ONLY

Diffraction becomes more significant when the size of the gap or obstacle is reduced compared with the wavelength of the wave.

The wavelength of light is about 0.0005mm.

Therefore light diffraction is only noticeable with very small apertures or where an image is highly magnified.

TRIPLE ONLY

Online SimulationsLaw of Reflection - NTNU - features a movable plane mirror Reflection in a plane mirror - eChalk Lateral inversion demo showing law of reflection - Freezeway.com Very simple ray reflection - Freezeway.com Reflection at a plane mirror with a protractor - Freezeway.com Reflection at a plane mirror ray diagram - Freezeway.com Balloon blasting game - eChalk Height of mirror and image seen - NTNU Virtual image formation - eChalk Image formed by a plane mirror - NTNU Reflection and images from two mirrors at 90 degrees to each other - NTNU Lens / mirror effect on a beam of light - NTNU Multiple reflections from two plane mirrors - NTNU Bending Light PhET - Explore bending of light between two mediums with different indices of refraction. See how changing from air to water to glass changes the bending angle. Play with prisms of different shapes and make rainbow. Refraction through a rectangular block - Freezeway.com Refraction through a rectangular block with some protractors - Freezeway.com Light Refraction - Fendt Refraction explained - Fendt Reflection & Refraction at a boundary related to wave speed - NTNU Refraction animation - NTNU - Does not show TIR effect Prism - non dispersive reflections and refractions - NTNU Prism/Lens - non dispersive refraction and reflections - NTNU

Refraction by a semicircular block - Freezeway.com Refraction through a semicircular block with protractors - Freezeway.com Light moving from water to air or vice-versa - NTNU Where is the fish? - refraction by water - NTNU The appearance of an object under water / ray diagram - NTNU How a fish sees the world - NTNU Fibre optic reflection - NTNU Dispersion with the effect of filters - Freezeway.com Dispersion of light using a prism - NTNU - prism apex angle can be changed Prism showing light dispersion for different colours - Explore Science Prism - multishape prism and single light ray - no extra reflections - netfirms Wave Effects - PhET - Make waves with a dripping faucet, audio speaker, or laser! Add a second source or a pair of slits to create an interference pattern. Also shows diffraction. Diffraction at a single slit - Fendt Single slit diffraction - wavelength adjustable - NTNU Diffraction from a single slit - netfirms Diffraction around an obstacle - netfirms BBC AQA GCSE Bitesize Revision: Optical fibres

Diffraction past a barrier - netfirms Resolution from two circular apertures - NTNU

Light WavesNotes questions from pages 107 to 117

1. Draw a diagram illustrating the law of reflection. (see page 107)2. With the aid of a diagram explain how a plane mirror forms an image. also

list the properties of this image. (see page 108)3. (a) What is refraction? (b) Draw a labelled diagram showing how a light

ray travels through a rectangular glass block. (see page 109)4. (a) State the equation relating incident and refraction angles. (b) Calculate

the angle of refraction with glass (n = 1.5) if the angle of incidence is 55°. (see page 110)

5. (a) Explain what is meant by total internal reflection and critical angle. (b) state the equation for critical angle and calculate the value of this angle for a substance of refractive index 1.4. (see pages 111 and 112)

6. With the aid of diagrams explain how total internal reflection is used in (a) prismatic periscopes and (b) optical fibres. (see pages 112 to 114)

7. (a) What is meant by dispersion? (b) How is it caused? (c) Draw a diagram (on colour) showing how a prism can disperse white light. (see page 115)

8. Answer the questions on pages 116 and 117.9. Verify that you can do all of the items listed in the end of chapter checklist

on page 116.