Question

A linearly polarized beam of light of intensityI₀ is propagating in the +z direction and its direction of polarization makes an angle of 64° with the x-axis (the angle between the initial direction of polarization and the transmission axis of the first polarizer is 26° as described below). Two linear polarizing sheets are lined up perpendicular to the beam. The first sheet has its transmission axis at an angleθ₁ = 90° with respect to the x-axis. The transmission axis of the second is variable. (See lower panels of the figure.)

a)Calculate the intensityI₁ of the light after it has passed through the first polarizer. Express your answer as a fraction ofI₀.

I ₁ / I₀ =

b)Calculate the electric field amplitude E₁of the light after it has passed through the first polarizer. Express your answer as a fraction of the electric field amplitude E₀ of the initial beam.

E ₁ / E₀ =

c)The second polarizer is set at various angles within the range θ ₂ = 0 to 90° Calculate the intensity of the light after it has passed through the second polarizer for the following values of θ₂. Express each answer as a fraction of I₁.

At θ ₂ = 0° I₂ /I₁ =

d)

At θ ₂ = 31° I₂ /I₁ =

e)

At θ ₂ = 90° I₂ /I₁ =

Please Help! Will Rate!

Answer 1