Question

1.   Assuming the refractive index of glass is 1.414, find the angle of refraction for this ray in glass, if the angle of incidence is 45 degree.​

Answer 1

Given:

Angle of incidence is 45° and refractive index is 1.414.

To find:

Angle of refraction?

Calculation:

Applying Snell's Law:

$\mu_{air} \times \sin(i) = \mu_{glass} \times \sin(r)$

$\implies \: 1 \times \sin( {45}^{ \circ} ) = 1.414 \times \sin(r)$

$\implies \: \sin( {45}^{ \circ} ) = 1.414 \times \sin(r)$

$\implies \: \dfrac{1}{ \sqrt{2} } = 1.414 \times \sin(r)$

$\implies \: \sin(r) \approx 0.5$

$\implies \: r \approx {30}^{ \circ}$

So, angle of refraction is approximately 30°.