A ray of light travels from a denser medium of refractive index n = 2 to a rarer medium. What is the maximum angle of incidence for the ray to undergo refraction?
Answers
Answer:
Given: A ray of light travels from an optically denser to rarer medium. The critical angle for the two media is C.
To find the maximum possible deviation of the ray
Solution:
Critical angle is the angle of incidence for which the angle of refraction is
2
π
for a given pair of media.
Let θ be the angle of incidence and ϕ the angle of refraction.
When the ray passes from denser to rarer medium, the deviation is δ=ϕ−θ. If θ=C then ϕ=
2
π
and deviation δ=
2
π
−C. This is the maximum deviation. When total internal reflection occurs, the deviation is given by δ=π−2θ. Here δ is maximum when θ is minimum. The minimum value of θ is C.
Hence maximum deviation δ=π−2C.
Answer:
Critical angle is the angle of incidence in denser medium for which angle of refraction in rarer medium is 90° i.e., i = ic, r = 90° (b) Transmission of video signals using optical fibre. An optical fibre is a device based on total internal reflection by which a light signal may be transmitted from one place to another with a negligible loss of energy. It is a very long and thin pipe of quartz (n =1.7) of thickness nearly ≈ 10-4 m coated all around with a material of refractive index 1.5. A large number of such fibres held together form a light pipe and are used for communication of light signals. When a light ray is incident on one end at a small angle of incidence, it suffers refraction from air to quartz and strikes the quartz-coating interface at an angle more than the critical angle and so suffers total internal reflection and strikes the opposite face again at an angle greater than critical angle and so again suffers total internal reflection. Thus the ray within the fibre suffers multiple total internal reflections and finally strikes the other end at an angle less than critical angle for quartz-air interface and emerges in air. As there is no loss of energy in total internal reflection, the light signal is transmitted by this device without any appreciable loss of energy.Read more on Sarthaks.com - https://www.sarthaks.com/53678/ray-light-travelling-from-denser-medium-refractive-index-rarer-medium-refractive-index
Explanation:
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