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A ray of light travels from a medium of refractive index m1 to a medium of refractive index m2. If “i” and “r” are the angle of incidence and refraction, then what is sin(i)/sin(r)?

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A ray of light travels from a medium of refractive index m1 to a medium of refractive index m2. If “i” and “r” are the angle of incidence and refraction, then what is sin(i)/sin(r)?

(a) m1

(b) m2

(c) m12

(d) m21

I had been asked this question during an interview.

This key question is from Lenses topic in portion Optics of Engineering Physics II

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Correct answer is (d) m21

Explanation: By Snell’s law:

m1*sin(i) = m2*sin(r)

=> sin(i)/sin(r) = m2/m1 = m21

therefore, sin(i)/sin(r) = m21.

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