A ray of light is passing from a medium of refractive index 2 to

SOLUTION

CONCEPT:

• Refraction: The bending of light or change in the direction of propagation of light as it moves from one medium to another is called refraction.
• The Snell's law or the law of refraction states that the ratio of the sine of the angle of incidence (i) to the sine of the angle of refraction (r) is constant for a light of given wavelength traveling in a given pair of media.

\(\frac{{Sin\;i}}{{Sin\;r}} = \;\frac{{{n_2}}}{{{n_1}}}\)

Where n₂ and n₁ are the refractive indexes of the two medium 2 and 1 respectively.

CALCULATION:

Given that:

Angle of refraction (r) = 45°

Refractive index of 1^st medium (n₁) = 2

Refractive index of second medium (n_2­) = √2

Use Snell’s law:

\(\frac{{Sin\;i}}{{Sin\;r}} = \frac{{{n_2}}}{{{n_1}}} = \frac{{\sqrt 2 }}{2} = \frac{1}{{\sqrt 2 }}\)

\(\frac{{Sin\;i}}{{Sin\;45^\circ }} = \frac{1}{{\sqrt 2 }}\)

Sini = (1/√2) × (1/√2) = ½