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You have what you believe to be two polarizing filters. Each one alone should reduce the light passing through by one-half.

One filter is placed on top of the other and the intensity of the light is reduced to $25\%$ of the original light intensity.

Which of the following statements is true?


The second filter is thinner than the first because it only stops about half as much light.


The intensity of the light is decreased by another $25\%$; therefore, the angle between the filters is $25^\circ$.


The angle between the filters is $45^\circ$ because the decrease in intensity is proportional to the cosine squared.


Only one filter is actually a polarizing filter. If the second filter were a polarizing filter, no light would get through.

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