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Question
The width of plane incident wavefront is found to be doubled on refraction in denser medium. If it makes an angle of 65° medium. with the normal, calculate the refractive index for the denser medium.
Solution
Given: i = 65°, CD = 2AB
To find: Refractive index (μ)
formulae:
`cosi/cosr="AB"/"CD"` ..........(1)
`mu=sini/sinr` ...................(2)
From formula 1
`cos65^@/cosr="AB"/"2AB"`
`0.4226/cosr=1/2`
`cosr=32^@16'`
from formula 2
`mu=sin65^@/sin(32^@16')`
`mu=1.697`
The refractive index for the denser medium is 1.697.
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