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To prove that emergent ray is …

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To prove that emergent ray is parallel to the incident ray
  • 2 answers

Yogita Ingle 4 years, 11 months ago

An incident ray is parallel to emergent ray in refraction as the angle of incidence is equal to the angle of emergence.

Let the refractive index of the medium be = u

Snell's law is a theory used to describe the relationship between incidence and refraction angles when referring to light or other waves crossing a boundary between two separate isotropic mediums, such as water, glass or air.

According to snell's law -

sin i/sin r = u  --- 1

sin r/ sin e = 1/u  -- 2

Multiplying equation 1 and 2 -

= sin i/ sine = 1

= sin i = sin e

Therefore ∠e = ∠i and are parallel.

Gaurav Seth 4 years, 11 months ago

By using Snell theorem of refraction,

n21 = sin i / sin r

n21 = 1 / n12

n12 = sin r / sin e

n21 = sin e / sin r

sin i / sin r = sin e / sin r

Thus,  sin i = sin e

Therefore, Incident ray is parallel to emergent ray.

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