VISIBLE LIGHT - REFLECTION and MIRRORS
IGCSE AQA GCSE Physics Edexcel GCSE Physics OCR GCSE
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Doc Brown's school physics revision notes: GCSE
physics, IGCSE physics, O level physics, ~US grades 8, 9 and 10
school science courses or equivalent for ~14-16 year old students of
physics
See also
REFRACTION experiments
This page will help answer many questions e.g.
How do you draw ray diagrams for
reflection? How do explain why waves reflect? What do we use mirrors for?
Sub-index for this page
(a)
Illuminated, self-luminous objects and
transmission of light
(b)
Investigating REFLECTION
(c)
The scientific wave model of reflection of light rays
(d)
Other points about reflection including scattering surfaces
(e)
The Uses of curved and plane mirrors
(f)
The characteristic properties of the image
in a plane mirror
(g)
Uses
of total internal reflection
(h)
How a reflecting
telescope works
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(a) Illuminated, self-luminous objects and
transmission of light
Self-luminous objects are those that create
and emit their own light e.g. torch bulb, the Sun, candle flame etc.
However, we see most objects by the
illumination of them from a source of light and the subsequent reflection of that
light from the surfaces of the objects we are viewing.
The reflection of visible light from objects
allows us see them from evolution's development of that wonderful light sensitive organ we
call the eye.
Very few surfaces do not reflect light. Even
the blackest of surfaces do reflect a tiny amount of light.
White light is a mixture of all possible
colours (see
prisms - refraction - visible spectrum page).
Visible light is part of the
electromagnetic spectrum and therefore usually travels in straight lines at 3 x 108 m/s.
It will take a slightly curved path if
passing through a medium of varying density - that's how you get mirages in the
desert.
Opaque materials do not allow the
light through - not transparent at all, but light may reflect off them.
Transparent materials allow light
through giving a clear image e.g. looking through a glass window pane, though
the material may absorb certain colours from white light.
Translucent materials allows some
light through but the rays broken up and are scattered on exiting e.g. holding
up a sheet of paper to a light source. You cannot see a clear image of what is
on the other side of the paper.
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(b)
Investigating REFLECTION
When light waves meet the boundary between
two materials, some of the wave energy might be reflected, absorbed or
transmitted (and then maybe
refracted).
Light waves are readily reflected off
smooth flat surfaces e.g. light reflected off a mirror.
Some of the light might also be
absorbed by the surface.
Set out a white sheet of paper with a line marked on it, as shown in the above
diagram.
Draw a 'normal' at 90o (perpendicular) to this line.
The normal is an imaginary line where the light ray hits the
'surface' and helps construct ray diagrams
Place the mirror
adjacent to this line at 90o to the normal.
You need a light box with
a slit to give a narrow beam of light.
Place the light box on the sheet of white
paper so the beam of light shines onto a mirror at the point on the mirror where
the previously marked normal line is.
Mark out a series dots on the white paper
coincident with the thin rays of light for the incident ray and reflected ray.
You can then join the dots up and measure the angle of the incident ray and
reflected ray with respect to the normal with a protractor (NOT with respect to
the plane mirror surface).
The experiment is best done in a darkened room and make sure
the light beam skims over the surface of the paper.
You repeat the experiment and changing the angle of
incidence (i on the diagrams), so you then also change the angle of
reflection (r on the diagrams).
For a fair test use the same mirror and
ray box beam to keep any variables constant.
Hopefully you see the reflected ray as
thin and bright as the incidence ray - a quality plane mirror should give a
clear reflection with little if any of the light absorbed.
Typical results are described, analysed and explained below.
Reflection ray diagram
Reminder - the vertical dotted line is called the
'normal', it isn't a ray, but helps in the construction and interpretation of
ray diagrams.
All angles are
measured with respect to the 'normal' which is at
90o to the
reflective surface.
A plane mirror means one with a perfectly flat surface.
Angle 2 = angle i is defined as the angle of incidence of incident
ray.
Angle 3 = angle r is defined as the angle of reflection of the reflected ray.
You will always find hat Angle 2 = Angle 3,
angle of incidence equals the angle of reflection for a plane mirror.
This is the
law of reflection.
The law applies to all mirrors
whatever the shape of the reflecting surface
The convex mirror disperses the
rays and the concave mirror concentrates the rays at specific focus point
(see
reflecting telescope).
So, appreciate that the
reflection rule (angle i = angle r) applies whatever the shape of the mirror!
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and sub-index
(c)
The scientific wave model of reflection of light rays
Visible light is a transverse wave (diagram
shown above).
The fine black lines (below) represent the wavefronts of light, so think of the
wavefronts as the
points of maximum amplitude of the light waves (the crests).
When the waves meet the flat smooth
surface they are 'bounced' off symmetrically at the same angle with respect to
the normal - see the first reflection diagram.
You can readily see this with ripple
tank experiments - just put a barrier in the way of the waves at 45o to
their direction and the way direction is changed by 90o. In this
case the crests of the waves correspond to the wavefronts.
General
introduction to the types and properties of waves including ripple tank experiments
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and sub-index
(d)
Other points about reflection including scattering surfaces
and a short note
on
comparing transparent, translucent and
opaque materials
Apart from luminous objects
(which give out their own light), we see objects by reflected light.
Light is reflected by different boundaries in
different ways.
If the light is reflected from a
very smooth 'shiny' surface we see a clear and coherent mirror image e.g. a silvered
glass mirror,
aluminium foil, even a shop window (though a much small % is reflected, most
is transmitted through the glass) etc.
The top left of diagram above shows what happens
when parallel incident waves hit a smooth surface to give a clear reflection
of parallel reflected rays.
This is called regular reflection
or specular reflection - to give a perfect 'mirror' image.
All the 'normals' are parallel at 90o
to the mirror surface.
Note that whatever the wavelength e.g.
the colours of visible white light, all the rays of colours bounce off
the mirror with the same angle of reflection.
You do NOT get any splitting of the
light into colours which happens when light enters or leaves a prism.
If the surface is uneven (e.g. rough or
matt, top right of diagram), the light is scattered in all directions eg you
don't see a clear mirror image looking tissue paper or a frosted
glass surface.
You cannot get a clear
reflection from a rough surface.
The right diagram above shows what
happens when parallel light waves are reflected by an uneven surface.
This is called diffuse reflection
or scattered reflection.
You get this with all non-smooth surfaces
e.g. carpet, soil, paper etc.
At any point on the surface the 'normal'
may be at any 'random' angle from 0o to 90o with
respect to the line of the surface of the material.
So,
although the incident rays come in parallel, they are reflected at lots
of different angles of reflection, but for every ray the angle of
incidence = the angle of reflection.
Note on some technical terms
A transparent material lets
light through so you see a clear image e.g. regular glass window.
A translucent material lets
light through but you can't see a clear image e.g. white tissue paper or
frosted glass because of the randomness of the surface causing
scattering effects.
An opaque material does not
let light through - the light may be absorbed or reflected.
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(e)
The uses of curved and plane mirrors and other reflecting surfaces
(remember
angle of reflection i always
equals the angle of reflection r with respect to the 90o
normal)
Reminder: The reflection rule (angle i =
angle r) applies whatever the shape of the mirror.
However, the shape of the mirror surface
is important for what you want to do with the mirror!
Mirrors can be all shapes and sizes depending
on their uses, including distorting your shape at a fun-fair!
The most familiar use is a plane mirror in
the home - you see a 'perfect' image of yourself, but it is laterally
inverted - your left become right and right becomes left! Its called lateral
inversion. However, 'top' and 'bottom' are still the same!
Note on the use of mirrors and safety equipment
Good reflectors used on bicycles and
safety clothing because they are designed so that the light is directed back
in one direction from where it came from e.g. the headlamps of a car.
The reflectors cover a wide range of
angles so you cannot see a clear reflected image.
They are often made of red plastic
and act as a colour filter, so you see the red warning colour.
A periscope is a simple method of
observing something from a different height than that of your eye.
It is used to observe things when there is a
barrier or other obstacle in the way.
You can buy a simple one using plane
mirrors (left diagram above) for watching golf with spectators in front of
you!
The periscopes of submarines require
something a little more sophisticated.
The right-hand diagram shows how you use
45o triangular prisms instead of mirrors.
Prisms have a higher
optical quality and note that the inside surfaces of solid '3D' prisms can act
as a mirror.
This phenomena is called 'total internal reflection'.
(For more see total internal reflection)
You can use these 45o prisms to reverse the
direction of a light beam - can you figure out how and sketch the ray diagram?
Comparing concave and convex mirrors
A concave mirror can focus light rays
to a common point F in front of the mirror (F is called the principal focus).
The distance from F to the centre of the mirror is called the focal length.
You
come across the same terms when you study
lenses.
This type of lens is used in reflecting telescopes (example further down).
A concave mirror is described as a converging mirror, for example it can
converge the Sun's rays to a focus point to provide a workable solar heating
system.
A shaving mirror is a concave mirror because it can produce an upright
magnified image.
A convex mirror disperses the rays and
the focal point F is behind the mirror.
Convex mirrors give you a wide field
of view and collect light over a wide angle.
Convex mirrors are used by the driver
on a bus, shop security and side-mirrors on cars to give a wide view of the road
behind and to the side of a vehicle.
Use of
a concave parabolic mirror in head lamps of floodlights
A parabolic concave mirror
is used to produce a powerful beam of light.
In car headlamps the light from
the bulb (filament or LED) is collected by the mirror and reflected to produce
an approximately parallel beam of rays to illuminate a narrow field of view
ahead of the vehicle - the mirror acts with a small angle of
divergence.
So, in reality the diagram isn't quite
correct because you want the rays to diverge a little to produce a wider beam to
illuminate more of the road ahead.
You can make small changes to the parabolic
shape to change the dispersion of the beam.
A parabolic array of mirrors can be used to make a
solar furnace,
reaching temperatures of over 2000oC.
French scientists have been experimenting with
solar furnaces since 1949.
Hot countries like Spain are doing increasing
research, no doubted prompted lately by climate change, since
solar energy is free and doesn't produce carbon dioxide!
See
https://en.wikipedia.org/wiki/Solar_furnace
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and sub-index
(f) The characteristic properties of the image
in a plane mirror
The image produced in a plane
mirror is virtual, upright and laterally inverted (ray diagram below).
The ray diagram for the formation of a mirror image
The construction of the ray diagram to show the
formation of a virtual image by a plane mirror and from which you can
deduce the characteristics of the virtual image.
You are expected to be able to
construct the diagram of the virtual image formed in a plane mirror.
The features of the virtual image formed by a
plane mirror are ...
The image is the same size as
the object.
The image is as far behind
the mirror as the object is in front of the mirror.
The image is upright -
the same way up as the object (if not it would be inverted, and you would
look upside down!).
The image is virtual
because the image appears to be from behind the mirror.
The image is laterally inverted,
the 'left' of the object now appears on the 'right' side and the 'right' of
the object appears to be the 'left' side of the image - this is called lateral inversion
of the image
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and sub-index
(g)
Uses of
total internal reflection
The internal surface of optical fibres
acts as a mirror - another case of total internal reflection, this time in fine
glass strands which allow the transmission of visible light rays and information
signals over long distances with minimum loss of intensity (amplitude).
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and sub-index
(h)
How a reflecting telescope works
A reflecting telescope uses a concave mirror
A relatively large concave mirror collects as
much light as possible from distant astronomical object e.g. a star.
The collected light is reflected by a small
plane mirror at ~45o into an eyepiece or camera.
By means of a magnifying lens in the eyepiece
tube you can produce a clear focussed and greatly magnified image of the star or
any other distant object.
Check out your
practical work you did or teacher demonstrations you observed, all of this is part of good revision for your
module examination context questions and helps with 'how science works'.
experiments - investigation of reflection using a ray box
reflecting light off a plane mirror at
different angles
Keywords and phrases: IGCSE/GCSE physics
notes on reflection off Illuminated objects, self-luminous objects and
transmission of light, investigations of reflection off mirrors, describing
and explaining a scientific wave model of the reflection of light rays of a
surface such as a plane mirror, effect on rays of rough or matt light scattering surfaces,
uses in instruments of curved and plane mirrors, characteristic properties
of the image formed by a plane mirror, explaining what is meant by total
internal reflection, uses of total internal reflection e.g. optic fibres,
describing and explaining how a reflecting telescope works with a magnifying
eyepiece lens to increase the size of the image How to do reflection
investigation properties of mirrors, how to construct ray
diagrams for reflection of visible light, explain and describe uses of plane
mirrors, concave mirrors and convex mirrors, explain the lateral inversion
of a mirror image, explain why a 45o prism can act as a mirror
due to total internal reflection
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and sub-index
WAVES - electromagnetic radiation, sound, optics-lenses, light and astronomy revision notes index
General
introduction to the types and properties of waves, ripple tank expts, how to do
wave calculations
Illuminated & self-luminous objects, reflection visible light,
ray box experiments, ray diagrams, mirror uses
Refraction and diffraction, the visible light
spectrum, prism investigations, ray diagrams explained
Electromagnetic spectrum,
sources, types, properties, uses (including medical) and dangers
The absorption and emission of radiation by
materials - temperature & surface factors including global warming
See also
Global warming, climate change,
reducing our carbon footprint from fossil fuel burning
Optics - types of lenses (convex, concave, uses),
experiments and ray
diagrams, correction of eye defects
The visible spectrum of colour, light filters and
explaining the colour of objects
Sound waves, properties explained, speed measure,
uses of sound, ultrasound, infrasound, earthquake waves
The Structure of the Earth, crust, mantle, core and earthquake waves (seismic wave
analysis)
Astronomy - solar system, stars, galaxies and
use of telescopes and satellites
The life cycle of stars - mainly worked out from emitted
electromagnetic radiation
Cosmology - the
Big Bang Theory of the Universe, the red-shift & microwave background radiation
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