A ray of light traveling in the air is incident on the plane of a transparent medium. The angle of the incident is 45o and that of refraction is 30o. Find the refractive index of the medium.
1√2
2√2
√2
2
A
√2
B
2
C
1√2
D
2√2
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Solution
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Snell's Law of refraction gives the relation between the incident and refracted light at the interface of two media, which is given by μ2μ1=sinisinr
The initial medium is air. Thus μ1=1
Given incidence angle i=45o and refraction angle is 30o
By Snell's law, μ2=μ1×sinisinr=1×sin45osin30o=1/√21/2=√2
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