Question

when a ray of light incident to a medium of refractive index √3 such that the angle of incidence is double the angle of refraction. the angle of refraction is​

Answer 1

 Answer:

     x = 30°

Explanation:

     According to snells law of refraction

     Sin i / Sin r = n2 / n1

air - n1 = 1

medium - n2 = √3

angle of incidence = 2x , angle of refraction = x

sin 2x / sinx = √3 / 1             {sin 2x = 2sinx.cosx}

2 sinx . cosx / sinx = √3 / 1

2 cosx = √3 / 1

cos x = √3 / 2

cos 30 = √3 / 2

x = 30°

∴ angle of refraction is 30°

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