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TOTAL INTERNAL

REFLECTION
RUBA AND TALIQA
REFLECTION AND REFRACTION
• Reflection involves a Refraction of waves involves a
change in direction of change in the direction of
waves when they waves as they pass from one
bounce off a barrier.  medium to another. 
Refraction, or the bending of
the path of the waves, is
accompanied by a change in
speed and wavelength of the
waves.
TOTAL INTERNAL REFLECTION
CRITICAL ANGLE
The angle of incidence
beyond which rays of
light passing through a
denser medium to the
surface of a less dense
medium are no longer
refracted but totally
reflected.
TOTAL INTERNAL REFLECTION
Total internal reflection, in
physics,
complete reflection of a ray
of light within a medium such
as water or glass from the
surrounding surfaces back
into the medium. The
phenomenon occurs if the
angle of incidence is greater
than a certain limiting angle,
called the critical angle
CONDITIONS FOR TOTAL INTERNAL
REFLECTION
For total internal reflection to occur,
2 conditions must be met:
• Ray of light must be travel from
denser medium to rare medium.
• The angle of incidence of the light
ray must exceed the critical angle
of the interface.
TOTAL INTERNAL REFLECTION
APPLICTIONS
• Light Pipe:
It is bundle of thousands of optical fibers bounded
together. They are used to illuminate the inaccessible places by the
doctors or engineers.
• Endoscope:
It is a medical instrument used for exploratory
diagnostic and surgical purposes.
Refractive index
the refractive index or index of refraction (n) of
a material is a dimensionless number that
describes how fast light propagates through the
material. It is defined as

n=

where c is the speed of light in vacuum and v is


the phase velocity of light in the medium. For
example, the refractive index of water is 1.333,
meaning that light travels 1.333 times as fast in
vacuum as in water. The refractive index
determines how much the path of light is bent, or
refracted, when entering a material.
HOW TO FIND A CRITICAL ANGLE
n1 sinθ1 = n2 sinθ2 (snells law)

(1.5) sinθC = (1.0) sin 90

sinθc =
θc =

θc = 41.8˚
QUESTIONS
A scuba diver is wearing a head lamp and looking up at the surface of the water.
If the minimum angle to the vertical resulting in total internal reflection is 25∘,
what is the index of refraction of the water?
θ air =1.00 HINT(SNELLS LAW= n1 sinθ1 = n2 sinθ2 ANS=2.37

Explanation:
We can use Snell's law:
n1sin(θ1)=n2sin(θ2)

At the first instance of total internal reflection, the angle of light on the air side will
be 90∘ to the vertical, so the equation becomes:

n1sin(θ1)=n2
Rearranging for the index of refraction of water, we get:

n1=n2sin(θ1)=1.0sin(25∘)=2.37
QUESTION
You have a piece of optical wire with a light beam traveling through it
surrounded by a liquid with an index of refraction of 1.33. If the index of
refraction of the wire is 1.85, what is the critical angle needed to achieve
total internal reflection?
Explanation:
The equation to find total internal reflection is a special case of Snell's Law, with the
refraction angle set to 90˚. This new equation looks like this:
=

To find the critical angle, we can rearrange the equation.

As you can tell from this, the index of refraction of the medium the light is traveling
from must be higher than the index of refraction of the other medium. Our numbers
qualify. Now, we can plug in our values to find the critical angle.                      
=(1.331.85)
=45.97∘

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