If i^ denotes a unit vector along an incident ray, r^ a unit vector along the refracted ray into a medium of refractive index 'μ ' and n^ a unit vector normal to the boundary of the media directed towards the incident medium, then the law of refraction can be written as

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i^.n^=μr^.n^

i^ x n^=μn^ x r^

i^ x n^=μ r^ x n^

μi^ x n^=r^ x n^

answer is C.

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Detailed Solution

A¯ x B¯=A¯B¯ sinθ i^ x n^=i^ r^ sini=1 x 1 x sini=sini r^ x n^=r^ n^ sinr=1 x 1 x sinr=sinr μ=sinisinr=i^ x n^r^ x n^ ∴i^ x n^=μr^ x n^

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