MT2Review - Page 1 of 2 7C Review Problems for Midterm 2...

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Page 1 of 2 7C Review Problems for Midterm 2 (Spring 2009) 1) You have a stack of N polarizers. You rotate them so the total angle between first and last is 90 ° , and so each adjacent pair is equally spaced. ( for example for N=3, the first two are 45 ° apart, the next is 45 ° again, for a total of 90 ° between first and last. ) If you send in unpolarized light at intensity I o , what intensity comes out? Find a. a number for N = 2,3,4; b. a formula for general N c. the limit as N goes to infinity. Interpret what this limit means physically. 2) A relativistic snake of proper length 100cm is moving at speed v = 0.6c to the right across a table. A mischievous grad student, wishing to tease the snake, holds two hatchets 100cm apart and plans to bounce them simultaneously on the table so that the left hatchet lands immediately behind the snake’s tail. The student argues as follows: “The snake is moving with β =.6. Therefore its length is contracted by a factor γ = 5/4 and its length (as measured in my frame) is 80cm. This
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MT2Review - Page 1 of 2 7C Review Problems for Midterm 2...

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