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Unformatted text preview: Version 014 Exam3 shih (56310) 1 This printout should have 12 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Light at a frequence of 4 10 14 Hz goes through two slits and has its second inter erence null deflected at an angle . What frequency will have its third interfer ence null deflected at this same angle? 1. 3 . 37 10 14 2. 2 . 67 10 14 3. 9 . 61 10 14 4. 1 . 50 10 14 5. 8 . 55 10 14 6. 6 . 67 10 14 correct Explanation: The angle of an interference null of a two slit experiment is d sin = parenleftbigg m + 1 2 parenrightbigg = parenleftbigg m + 1 2 parenrightbigg c f , where d is the separation of the slit. The first frequency f 1 at the second inter ference null ( m = 1) satifies d sin = 3 2 c f 1 , while the second frequency f 2 at the third interference null ( m = 2) satisfies d sin = 5 2 c f 2 . Thus f 2 f 1 = 5 c 2 d sin 3 c 2 d sin = 5 3 f 2 = 5 3 f 1 = 5 3 (4 10 14 Hz) = 6 . 66667 10 14 Hz . 002 10.0 points Two parallel polarizer disks are aligned with the transmission axis of the first oriented at an angle 1 clockwise from the vertical, and that of the second at an angle 2 clockwise from the vertical, with 0 < 1 < 2 . A horizontal beam of polarized light with intensity I and the polarization direction pointing vertically passes through both polarizers. The intensity I of the light is 1. I = I cos 2 2 . 2. I = I cos 2 1 cos 2 2 . 3. I = I cos 2 1 cos 2 2 . 4. I = I cos 2 1 . 5. I = I cos 2 1 . 6. I = I . 7. I = I cos 2 2 . 8. I = I cos 2 2 cos 2 1 . 9. I = I cos 2 1 cos 2 ( 2 1 ) . correct 10. None of these. Explanation: When polarized light passes through a polarizer, the transmitted intensity is I = I cos 2 , where is the angle between the di rection of polarization of the light and the axis of the polarizer. Now we have two successive polarizers, so the resulting intensity will be I = I cos 2 1 cos 2 ( 2 1 ) . 003 10.0 points A fiberoptic rod consists of a central strand of material surrounded by an outer coating. Version 014 Exam3 shih (56310) 2 The interior portion of the rod has an index of refraction of 1.90....
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 Spring '10
 TSOI
 Physics, Light

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