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solution_pdf - Version 015 quiz 3 frommhold(58025 This...

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Version 015 – quiz 3 – frommhold – (58025) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 16.66 points The second-order bright fringe ( m = 2) is 4 . 33 cm from the center line. 4 . 33 cm 1 . 1 m 0 . 0301 mm S 1 S 2 θ viewing screen Determine the wavelength of the light. Be sure to use the small angle approximation, sin ( θ ) θ 1. 698.683 2. 535.472 3. 564.865 4. 674.113 5. 542.699 6. 592.423 7. 634.091 8. 558.975 9. 512.293 10. 618.264 Correct answer: 592 . 423 nm. Explanation: Let : y = 4 . 33 cm , L = 1 . 1 m , and d = 0 . 0301 mm , r 2 r 1 y L d S 1 S 2 θ = tan 1 parenleftBig y L parenrightBig viewing screen δ d sin θ r 2 - r 1 P O negationslash S 2 Q S 1 90 Q r 2 r 1 d S 1 S 2 θ = tan 1 parenleftBig y L parenrightBig θ δ d sin θ r 2 - r 1 negationslash S 2 Q S 1 90 Q For constructive interference y bright = λ L d m , (1) with m = 2, y 2 = 0 . 0433 m, L = 1 . 1 m, and d = 3 . 01 × 10 5 m λ = d y 2 m L = (3 . 01 × 10 5 m) (0 . 0433 m) (2) (1 . 1 m) = 5 . 92423 × 10 7 m = 592 . 423 nm . 002 16.66 points What is the apparent mass of a 1-kg object that has been accelerated to 92 . 2% of light speed? 1. 2.58271 2. 3.81316 3. 7.08881 4. 2.50697 5. 5.79528 6. 3.92501 7. 2.42479 8. 2.70212 9. 4.25567 10. 5.99717 Correct answer: 2 . 58271 kg. Explanation: Let : v = 0 . 922 c .
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Version 015 – quiz 3 – frommhold – (58025) 2 m MG = m GG radicalbigg 1 - parenleftBig v c parenrightBig 2 = 1 kg radicalbig 1 - 0 . 922 2 = 2 . 58271 kg 003 16.66 points An cylindrical opaque drinking glass has a diameter 4 . 4 cm and height h , as shown in the figure. An observer’s eye is placed as shown (the observer is just barely looking over the rim of the glass). When empty, the observer
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