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Homework 1 KEY

# Homework 1 KEY - Golshani(ag5873 Homework 01 Yao(57045 This...

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Golshani (ag5873) – Homework 01 – Yao – (57045) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points The reflecting surfaces of two intersecting flat mirrors are at an angle of 62 , as shown in the figure. A light ray strikes the horizontal mirror at an angle of 49 with respect to the mirror’s surface. 62 49 φ Figure is not drawn to scale. Calculate the angle φ . Correct answer: 56 . Explanation: Basic Concept: θ incident = θ reflected Solution: θ 1 θ 2 φ θ Figure is to scale. The sum of the angles in a triangle is 180 . In the triangle on the left we have angles θ , 180 - θ 1 2 , and 180 - θ 2 2 , so 180 = θ + 180 - θ 1 2 + 180 - θ 2 2 , or θ 1 + θ 2 = 2 θ . (1) In the triangle on the right we have angles θ 1 , θ 2 , and φ . 180 = θ 1 + θ 2 + φ , so θ 1 + θ 2 = 180 - φ . (2) Combining Eq. 1 and 2, we have φ = 180 - 2 θ = 180 - 2 (62 ) = 56 . As a matter of interest, in the upper-half of the figure the angles (clockwise) in the triangles from left to right are 41 , 41 , and 98 ; 82 , 28 , and 70 ; 110 , 21 , and 49 ; 131 , 21 , and 28 ; and in the lower-half of the figure the angles (counter-clockwise) in the triangles from left to right are 21 , 21 , and 138 ; 42 , 28 , and 110 ; 70 , 41 , and 69 ; 111 , 41 , and 28 . 002 10.0 points Consider a light ray which enters from air to a liquid, where the index of refraction of the liquid is given by n = 2. n = 1 n = 2 Air Liquid light ray Denote the wavelength and the frequency in the liquid by λ and f and those in the air by λ and f . Choose the correct pair of ratios:

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Golshani (ag5873) – Homework 01 – Yao – (57045) 2 1. λ λ = 2 , f f = 1 2. λ λ = 1 2 , f f = 2 3. λ λ = 1 2 , f f = 1 4. λ λ = 1 2 , f f = 2 5. λ λ = 2 , f f = 2 6. λ λ = 1 , f f = 2 7. λ λ = 2 , f f = 1 8.
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Homework 1 KEY - Golshani(ag5873 Homework 01 Yao(57045 This...

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