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# similar to question 8 better - Genius Professor NAME...

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Genius Professor NAME STUDENT ID Write your name also in the back of the last page. PH202-1C Final Exam (Apr. 30, 2008, 8:00am-10:30am) You may not open the textbook nor notebook. A letter size information may be used. A calculator may be used. However, mathematics or physics formula programmed in a calculator may not be used. Write down, reasoning, calculation and answer in the blank space after each problem. Use the back- side of the sheet if necessary. Answers without reasonable explanation or mathematical derivation will receive no point. Partial credit may be given to correct reasoning and mathematical procedures even if your final answers are wrong. However, if the final answer is too obviously wrong, a partial credit may not be given. Answer in a symbolical mathematical expression without numerical calculation may not receive full points. You must complete numerical calculation. Unit is a part of answer. Do not forget units. Important Physical Constants: Electron’s electric charge: e = - 1 . 60 × 10 19 C Permittivity of free space: ǫ 0 = 1 4 πk = 8 . 85 × 10 12 C 2 / ( N · m 2 ) where k = 8 . 99 × 10 9 N · m 2 /C 2 Permeability of free space: μ 0 = 4 π × 10 7 Tm/A Speed of light in vacuum: c = 2 . 99792458 × 10 8 m/s Planck constant: h = 6 . 62606876 × 10 34 J · s Mass of electron: m e = 9 . 10938188 × 10 31 kg Mass of neutron: m n = 1 . 67492716 × 10 27 kg Mass of proton: m p = 1 . 67262158 × 10 27 kg Acceleration due to the Earth’s gravity: g = 9 . 80 m/s 2 SCORE 1

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1. [8 pts.] A boy standing on a boat sees a fish in the direction θ = 60 from the vertical as shown in Figure. The boy’s eye is 2 . 0 m above the water surface and the fish is 3 . 0 m below the water surface. Find the horizontal distance x between them. Water has the index of refraction n = 1 . 33 .
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