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Quiz#4-soln - Quiz#4 Name PS PHYS 1302 Summer 6W2 2009...

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Quiz #4 Name ______________ PS#________________ PHYS 1302 Summer 6W2 2009 Lau ------------------------------------------------------------------------------------------------------------ 1. A horizontal light ray enters the prism at the center of the long side as shown in the figure below. The refractive index of the prism is 1.68. What is the angle θ between the emerging ray and the horizontal? Assume that the refractive index of air is 1.00. A. 35 degrees B. 38 degrees C. 45 degrees D. 60 degrees E. 90 degrees Solution: Applying Snell's Law to the first interface where θ r is the angle of refraction. (1.00)sin 45 sin 24.9 r r n θ θ ° = = ° From geometry, the angle of incidence for the second interface 45 24.9 20.1 sin sin(20.1 ) sin 0.577 35 i i n n θ θ θ θ = ° - ° = ° = ° = = = ° ----------------------------------------------------------------------------------------------------------- 2. A convex mirror has a radius of curvature of 24.0 cm. An object is placed 10.0 cm in front of the mirror, as shown in the figure below. What is the distance between the object and the image? θ
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Solution The image distance is given by 1 1 1 1 1 12.5 10.0 5.6 6 i o i d f d cm cm d cm cm = - = - - = - ≈ - The distance is given by 10cm + 6 cm = 16 cm.
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