Question

If critical angle of a transparent crystal is 37, then its polarizing angle will be

Answer 1

Answer:

Brewster's angle is an angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, ... When unpolarized light is ...

Answer 2

Answer:

The polarizing angle of the transparent crystal is 59.03 degree

Explanation:

Given: The critical angle of a transparent crystal is 37.

To find: Polarizing angle of the crystal

Formula used: μ =  tan i

Solution:

Brewster's law:

• A relationship between light waves at the light's maximum polarization angle is known as Brewster's law.
• Brewster's law states that when unpolarized light of known wavelength is incident on a surface of a transparent material, maximal plan polarization occurs at the angle of incidence whose tangent matches the material's refractive index for the wavelength.

Brewster's Law formula:

μ =  tan i

μ = refractive index of the crystal

i = polarization angle

μ = $\frac{1}{sin(theta)_{c} }$

$theta_{c}$ = critical angle

$theta_{c}$ = sin 37

μ = $\frac{1}{sin(theta)_{c} }$

μ = $\frac{1}{sin37 }$

μ = $\frac{1}{\frac{3}{5} }$

μ = $\frac{5}{3}$

tan i= $\frac{5}{3}$

⇒ i= $tan^{-1} (\frac{5}{3} )$

i = 59.03

Polarizing angle = 59.03 degree

Final answer:

The polarizing angle of the transparent crystal is 59.03 degree

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