# physics

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(a) A vertically polarized photon goes through two polarizing filters, the first of which is vertically aligned and the second at degrees. What is the probability that the photon is transmitted through both filters?

(b) Now, you are allowed to place a polarizing filter between the two filters in the previous question. If you wish to maximize the probability that the photon is transmitted through all three filters, what angle would you orient the additional filter? Here, assume that a 0degrees filter corresponds to a horizontal filter and 90degrees a vertical filter. Provide your answer in degrees as a real number between 0 and 90 .

(c) In that case, what is the probability that the photon is transmitted through all three? Round your answer to the nearest thousandth. (ex: 0.182)

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(a) 0.5
(b) 67.5
(c) 0.7285

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We have a qubit in the state |ψ>= √3/2 |0>+ 1/2 |1>, which we want to measure in the {Cos θ |0> + Sin θ |1>, Sin θ |0> - Cos θ |1>} basis. In order for the two possible outcomes to be equiprobable, what should be the value of θ in degrees? (Answer between 0 and 90.)

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