Section 4 The above diagram represents a more), each rotated through the same an

Question

Section 4 The above diagram represents a more), each rotated through the same angle 0- previous polarizer. Initially unpolarized series of polarizers (six are shown, but it could be 22.2° with respect to the light shines from the left. (a) How many polarizers are necessary to get the final intensity of the light emerging o the right to be under l/ Answer:P 100 (that is, 1%) of the initial intensity of the unpolarized light? Polarizers right to be under 1/1000 (that is, 0.1%) of the initial intensity of the unpolarized light? Answer: polarizers (b) How many polarizers are necessary to get the final intensity of the light emerging on the

Explanation / Answer

(A) If = I (cos(theta))^2 (after a polarizer)

for first polarizer, I = I0/2 (as light was unpolarized)

I/100 = (0.5 I ) (cos(22.2))^2n

(0.926)^2n = 1/50

2n / ln(0.926) = ln(1/50)

n = 25

total polarizer = 26

(b) 1/1000 = 0.5 (0.926)^2n

1/500 = (0.926)^(2n)

n= 40

polarizer = 41

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