The percentage of light gets through three successive polarized filters is 24.9 %
From the question,
Given that,
Angle of transmission axis = 32.8°
The intensity of light emerging from the first polarizer is determined by the equation
I₁ = I₀ / 2
where I₀ ⇒ intensity of unpolarized light
The light emerging from the second polarizer can be mathematically represented by,
I₂ = I₁ x cos²θ
Substituting the values,
I₂ =( I₀/2) x cos²θ
= (I₀/2) x cos² (32.8 )
= (I₀/2) x 0.706
= (0.706 / 2 ) x I₀
The light emerging from the third polarizer is represented as,
I₃ = I₂ x cos²θ
Substituting the values in the above equation,
I₃ = ( 0.706 / 2 ) I₀ x cos² (32.8)
= (0.706 / 2 ) I₀ x 0.706
= 0.249 I₀
The percentage of intensity of light that gwts through with respect to the intensity of unpolarized light is given by the equation,
(I₃ / I₀) x 100
Substituting the values
[(0.249 x I₀) / I₀ ] x 100 = 24.9 %
Hence the percentage of light gets through is 24.9%
To learn more about unpolarized light: brainly.com/question/17164167
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