Question

A clear sheet of polaroid is placed on top of a similar sheet so that their polarizing axes make an angle of 30° with each other. The ratio of the intensity of emerging light to incident unpolarized light is:

Answer 1

Answer:

$\dfrac{I}{I_0}=\dfrac{3}{8}$

Explanation:

Given that

Angle ,θ = 30°

From Malus law,Intensity given as

$I=\dfrac{I_0}{2}cos^2\theta$

Io=Intensity of unpolarized light

I=Intensity of emerging light

Now by putting the value of angle

$I=\dfrac{I_0}{2}cos^2\theta$

$I=\dfrac{I_0}{2}cos^230^{\circ}$

We know that

$cos30^{\circ}=\dfrac{\sqrt{3}}{2}$

$I=\dfrac{I_0}{2}\times \dfrac{3}{4}$

$\dfrac{I}{I_0}=\dfrac{3}{8}$

Therefore ratio will be $\dfrac{3}{8}$