You simultaneously shine two light beams, each of intensity I0, on an ideal polarizer. One beam is unpolarized, and the other beam is polarized at an angle of exactly 30.0∘ to the polarizing axis of the polarizer. Find the intensity of the light that emerges from the polarizer. Express your answer in term of I0 .

Respuesta :

Answer:

The emerging intensity is equal to 0.75[tex]I_{o}[/tex]

Explanation:

The initial intensity of the light = [tex]I_{o}[/tex]

The angle of polarization β = 30°

We know that the polarized light intensity is related to the initial light intensity by

[tex]I[/tex] = [tex]I_{0} cos^{2}\beta[/tex]

where [tex]I[/tex] is the emerging polarized light intensity

inserting values gives

[tex]I[/tex] = [tex]I_{0} cos^{2}[/tex] 30°

[tex]cos^{2}[/tex] 30° = [tex](cos 30)^{2}[/tex] = [tex](\frac{\sqrt{3} }{2} )^{2}[/tex] = 0.75

[tex]I[/tex] = 0.75[tex]I_{o}[/tex]