Alight ray in air is incident on a transparent material whose index of refraction is t. o. find an expression for the (non-zero) angle of incidence whose angle of refraction is half the angle of incidence. b. evaluate your expression for light incident on glass.

Explanation:

Refractive index f the medium, n = t

Let the angle of incidence is i

(a) As given in the question, the angle of refraction is half of angle of incidence.

Let the angle of refraction is r

r = i / 2

By use of Snell's law

By substituting the values, we get

By using the formula of trigonometry

Sin2Ф = 2 SinФ CosФ

So,

(b) For glass, the value of refractive index is 1.5, so the above expression becomes

i = 82.8°

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle