5. Converging Lens RaysConverging Lens Rays
The images are found by using three principalThe images are found by using three principal
rays:rays:
Principal Ray 1:Principal Ray 1: A light ray parallel to the principalA light ray parallel to the principal
axis is refracted through the principal focal point.axis is refracted through the principal focal point.
Principal Ray 2:Principal Ray 2: Passes through the optical center.Passes through the optical center.
No apparent refraction occurs but the ray is bent.No apparent refraction occurs but the ray is bent.
The ray seems to pass straight through to the otherThe ray seems to pass straight through to the other
side.side.
Principal Ray 3:Principal Ray 3: Passes through the secondaryPasses through the secondary
focal point and will be refracted. Will exit the lensfocal point and will be refracted. Will exit the lens
parallel to the principal axis.parallel to the principal axis.
7. Diverging Lens RaysDiverging Lens Rays
Principal ray 1Principal ray 1 (parallel to the principal axis,(parallel to the principal axis,
PA) will be refracted away from thePA) will be refracted away from the PAPA. But the. But the
prolongation of the ray will pass through theprolongation of the ray will pass through the
principal focus.principal focus.
Principal ray 2Principal ray 2 (straight through the optical(straight through the optical
center) has no apparent sign of refraction.center) has no apparent sign of refraction.
Principal ray 3Principal ray 3 (via the secondary focal point)(via the secondary focal point)
is refracted parallel to the principal axis.is refracted parallel to the principal axis.
9. Thin Lens EquationsThin Lens Equations
ddoo is the distance to the objectis the distance to the object
ddii is the distance to the imageis the distance to the image
f is the focal lengthf is the focal length
hhii is the image heightis the image height
hhoo is the object heightis the object height
N.B. the negative signN.B. the negative sign
10. Conventions for theConventions for the
EquationEquation
Distances are measured from the vertex.Distances are measured from the vertex.
Focal lengths are positive for converging lenses andFocal lengths are positive for converging lenses and
negative for diverging lensesnegative for diverging lenses
Radii of curvature are positive for converging lenses andRadii of curvature are positive for converging lenses and
negative for diverging lenses.negative for diverging lenses.
Image and object distances are positive for real imagesImage and object distances are positive for real images
and objects.and objects.
Image and object distances are negative for virtualImage and object distances are negative for virtual
images and objects.images and objects.
Image and object heights are positive when upright andImage and object heights are positive when upright and
negative when inverted.negative when inverted.
Answer: Page 122, Q. 1,2 on board, 5,6,7,9Answer: Page 122, Q. 1,2 on board, 5,6,7,9
13. RefractionRefraction
Refraction is the bending of light as itRefraction is the bending of light as it
changes speed as it passes from onechanges speed as it passes from one
medium to another.medium to another.
The angle is measured from the normal.The angle is measured from the normal.
Light bends towards the normal ifLight bends towards the normal if
it enters an optically denserit enters an optically denser
substance and v.v.substance and v.v.
14. Table of ObservationsTable of Observations
# Activity
1 Invisible coin
2 Broken pencil
3 Glass block
4 From air to water
5 From water to air
6 Dispersion of light
7 Light ray thru’
glass
Observations
1.1. Coin disappears whenCoin disappears when
viewed from sideviewed from side
2.2. Pencil appears to bendPencil appears to bend
3.3. Coin disappears whenCoin disappears when
viewed from sideviewed from side
4.4. Light bends as it entersLight bends as it enters
containercontainer
5.5. Light bounces off waterLight bounces off water
6.6. Light spreads out intoLight spreads out into
colours ROYGBVcolours ROYGBV
7.7. Light bends twice as itLight bends twice as it
enters and exits the glassenters and exits the glass
15. Refractive Index - nRefractive Index - n
The refractive index, n, is a measure of howThe refractive index, n, is a measure of how
much light bends as it enters the substance.much light bends as it enters the substance.
n = c/v, where c = 3x10n = c/v, where c = 3x1088
m/sm/s
v = velocity of light in new mediumv = velocity of light in new medium
Air has a refractive index of 1.Air has a refractive index of 1.
Diamond bends light the most (n= 2.42).Diamond bends light the most (n= 2.42).
Table of n values – page 79.Table of n values – page 79.
1515
16. Snell’s LawSnell’s Law
In air, n = sin ΘIn air, n = sin Θii / sin Θ/ sin Θrr
Snell’s Law: nSnell’s Law: n11sinΘsinΘ11 = n= n22sinΘsinΘ22
The left side refers to the medium in which theThe left side refers to the medium in which the
light is incident.light is incident.
The right side refers to the medium to where theThe right side refers to the medium to where the
light exits.light exits.
ActivityActivity
P. 81, Q. 1-3P. 81, Q. 1-3
P. 83, Q. 1-2P. 83, Q. 1-2
P. 86, Q. 3-5, 7 (Table of Indices of Refraction – p.79)P. 86, Q. 3-5, 7 (Table of Indices of Refraction – p.79)
1616
17. Total InternalTotal Internal
ReflectionReflection
This occurs when a ray of light passesThis occurs when a ray of light passes
from an optically dense material (big n) tofrom an optically dense material (big n) to
an optically LESS dense material (low n).an optically LESS dense material (low n).
If the angle of incidence is greater than aIf the angle of incidence is greater than a
certain angle – the critical angle - thecertain angle – the critical angle - the
light will NOT refract out, but will reflectlight will NOT refract out, but will reflect
internally.internally.
1717
19. Critical AngleCritical Angle
In TIR situations, there comes a point at which theIn TIR situations, there comes a point at which the
angle of refraction increases until it leaves theangle of refraction increases until it leaves the
medium.medium.
In this case the angle of refraction can be consideredIn this case the angle of refraction can be considered
to be equal to 90to be equal to 90oo
..
The angle of incidence at which an angle of refractionThe angle of incidence at which an angle of refraction
of 90° first occurs is the Critical Angle.of 90° first occurs is the Critical Angle.
Thus for Critical Angle questions, the angle ofThus for Critical Angle questions, the angle of
refraction is assumed to be 90°.refraction is assumed to be 90°.
1919
21. Snell’s Law & TIRSnell’s Law & TIR
nn11sinΘsinΘ11 = n= n22sinΘsinΘ22
Thus the ΘThus the Θ22 is 90is 90oo
, always., always.
The ΘThe Θ11 is called Θis called Θcc , the critical angle., the critical angle.
As n increases, the ΘAs n increases, the Θcc decreases causing moredecreases causing more
TIR, which is why diamonds appear so brilliant.TIR, which is why diamonds appear so brilliant.
Page 88, Q. 1, 2, 6Page 88, Q. 1, 2, 6
2121
22. Fibre OpticsFibre Optics
This is especially useful in fibre optics.This is especially useful in fibre optics.
Light enters a optic fibre and reflects onLight enters a optic fibre and reflects on
the inside of the cable instead ofthe inside of the cable instead of
escaping.escaping.
So signals can be transmitted at theSo signals can be transmitted at the
speed of light, much faster than thespeed of light, much faster than the
speed of electricity.speed of electricity.
2222