# HW1_pdf - arango(da2356 WH01 markert(58710 This print-out...

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arango (da2356) – WH01 – markert – (58710) 1 This print-out should have 21 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. I posted the Homework a little earlier, so that you can have a look at it. The Discussion session will start on Thursday next week and the due day for the Homework is Feb 02 001 10.0 points Diamond has a high index of refraction at about 2 . 4, which helps account for its sparkle. How fast does light travel through a dia- mond? The speed of light in a vacuum is 3 × 10 8 m / s. Correct answer: 1 . 25 × 10 8 m / s. Explanation: Let : n = 2 . 4 and c = 3 × 10 8 m / s . v = c n = 3 × 10 8 m / s 2 . 4 = 1 . 25 × 10 8 m / s . The material with the highest index of refrac- tion, diamond, will bend light the most. 002 (part 1 of 2) 10.0 points Given: A ray approaching an interface. glass air What is the approximate refracted ray? 1. glass air correct 2. None of these 3. glass air 4. glass air Explanation: When a light ray goes from glass into air, it refracts away from the normal. 003 (part 2 of 2) 10.0 points glass air What is the approximate refracted ray? 1. None of these 2. glass air correct 3.

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arango (da2356) – WH01 – markert – (58710) 2 glass air 4. glass air Explanation: When a light ray goes from air into glass, it refracts toward the normal. 004 (part 1 of 2) 10.0 points Consider the case in which light ray A is in- cident on mirror 1 , as shown in the figure. The reflected ray is incident on mirror 2 and subsequently reflected as ray B. Let the an- gle of incidence (with respect to the normal) on mirror 1 be θ A = 56 and the point of incidence be located 20 cm from the edge of contact between the two mirrors. 90 x A B mirror 1 mirror 2 θ A θ B What is the angle of the reflection of ray B (with respect to the normal) on mirror 2 ? Correct answer: 34 . Explanation: If the angle of the incident ray A is θ A , the angle of reflection must also be θ A . Since the mirrors are perpendicular to each other, angle θ B is equal to 90 - θ A θ B = 90 - θ A = 90 - 56 = 34 . 005 (part 2 of 2) 10.0 points Determine the angle between the rays A and B. 1. 56 2. 112 3. 90 4. 0 5. 34 6. 68 7. 180 correct Explanation: Refer to the figure below. Consider the angle each ray makes with mirror 1 . Ray A makes an angle of φ A with mirror 1 . This is given by φ A = 90 - θ A = θ B . The normal to mirror 2 is parallel to mirror 1 . Thus the angle ray B makes with mirror 1 (assumed to be extended) is θ B . Both rays make the same angle with respect to mirror 1 . They are parallel, but point in the opposite directions. Therefore the angle between them is 180 .
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