find the ratio of the light intensity of the transmitted light to the light intensity of the incident light is?

Question

A beam of linear polarized light is perpendicular to a polarizer. Set the vibration direction of the linear polarized light and the transmittance axis of the polarizer at a π/3 angle, then find the ratio of the light intensity of the transmitted light to the light intensity of the incident light.

the options are

a] 1:8

b]1:4

c] 1:16

d]1:2

i don't know how we are supposed to solve this .. pls help

Answer 1

Malus's law says that the intensity of polarized light (I) that passes through an ideal polarizing filter at angle, θ, to the plane of polarization is calculated as I = I₀cos²(θ) In this case cos(60) = 1/2 , so I = 1/4 I₀,'

You want to be careful in with these problems that the initial light wasn't put through a polarizing filter in order to make it polarized. Light through an ideal filter cuts the intensity in half. In this problem, the light is given as polarized, so I would go for 1:4 (It would be 1:8 if two polarizers are used)

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