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Unformatted text preview: PHY2054 Section 5887 Quiz 10: Ch 24 November 30, 2011 NAME UFID Show all your work step by step. 1. Two radio antennas separated by 300 m, as shown in Figure, simultaneously transmit identical signals of the same wavelength. A radio in a car traveling due north receives the signals. (a) What is the difference of the optical paths from the two radio antennas? (0.5/5) (b) If the car is at the position of the third maximum, what is the wavelength of the signals? (0.5/5) (c) If you naively use the formula y bright = mL/d , what is the wavelength of the signals that you will get? The answers between (b) and (c) should be quite different. This is because y bright = mL/d is only correct when d, yL , which is not fulfilled in this problem. (0.5/5) (d) How much farther must the car travel to encounter the next minimum in reception? (0.5/5) Solution: Problem 7. (a) path difference : d sin = d sin(arctan(400 / 1000)) = d sin(21 . 8 ) = 300 sin(21 . 8 ) = 111 . 42 (m)....
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