Three polarizing filters are stacked with the polarizing axes of the second and

Question

Three polarizing filters are stacked with the polarizing axes of the second and third at 48.0 and 90.0, respectively, with that of the first. An unpolarized light of intensity I0 is incident on the stack.

A.) Find the intensity of light emerging from the first filter. B.)Find the intensity of light emerging from the second filter. C.) Find the intensity of light emerging from the third filter. D.)If the second filter is removed, what is the intensity of the light emerging from the first filter? E.) If the second filter is removed, what is the intensity of the light emerging from the last filter?

Explanation / Answer

here,

theta1 = 48 degree

theta2 = 90 degree

initial intensity is I0

a)

as the light is unpolarized

the intensity of light emerging from the first filter, I1 = I0/2

I1 = 0.5* I0

b)

the intensity of light emerging from the second filter , I2 = I1* (cos(theta1))^2

I2 = 0.5*I0 * ( cos(48))^2

I2 = 0.22 I0

c)

the intensity of light emerging from the third filter, I3 = I2*( cos(theta2 - theta1))^2

I3 = 0.22 * ( cos(90 - 48))^2

I3 = 0.12 *I0

d)

if the seccond filter was removed

the intensity of the light emerging from the first filter is same i.e. 0.5*I0

e)

if the seccond filter was removed

the intensity of light emerging from the third filter, I3 = I1*( cos9theta1))^2

I3 = 0.22 * ( 0)^2

I3 = 0

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