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practice - Physics 21 Fall 2007 Practice Questions on...

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Physics 21 Fall, 2007 Practice Questions on Optics Some of these questions on optics have been adapted from questions on the Physics 21 final given at the end of the spring semester of 2004. Try to work them using only the equation sheet and the notes on optics that will be provided with the final. Problem 1. Consider the polarizers in this problem as “perfect.” After passing through the first polarizer, the electric field of a light wave is (in SI units) E = E 0 cos[6 . 0 × 10 15 t - 2 . 0 × 10 7 x ] ˆ j , with E 0 = 2 . 0 × 10 4 V/m. (a) What are the frequency and wavelength of this wave? (b) A second polarizer is oriented at 60 to the first. What is the magnitude and direction of the elec- tric field after passing through this second polar- izer? 60 O z y (c) A third polarizer is oriented in the z direction. What is the magnitude and direction of the elec- tric field after passing through the third polar- izer? Problem 2. Two slits that are d = 2 . 0 × 10 4 m apart are illuminated with monochromatic light with a wavelength of 600 nm.
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