# A certain kind of glass has an index of re fraction

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A certain kind of glass has an index of re- fraction of 1 . 69 for blue light and an index of 1 . 655 for red light. If a beam containing these two colors in the air is incident at an angle 48 . 3 on this glass, what is the angle between the two beams inside the glass? 1. 0.476763 2. 0.530413 3. 0.598266 4. 0.396853 5. 0.413257 6. 0.4214 7. 0.503296 8. 0.627859 9. 0.492411 10. 0.581176 Correct answer: 0 . 598266 . Explanation: θ i = 48 . 3 for both. θ refr is different for the red and blue beams, so we use Snell’s law twice: n air sin θ i = n glass sin θ refr θ refr = sin 1 parenleftbigg 1 n glass sin θ i parenrightbigg θ refr,red = sin 1 parenleftbigg 1 1 . 655 sin 48 . 3 parenrightbigg = 0 . 468043 rad θ refr,blue = sin 1 parenleftbigg 1 1 . 69 sin 48 . 3 parenrightbigg = 0 . 457602 rad Δ θ = θ refr,red θ refr,blue = 0 . 598266 008 10.0points At what distance from a long, straight wire carrying a current of 1 . 1 A is the magnetic field due to the wire equal to the strength of Earth’s field, approximately 5 . 7 × 10 5 T? The permeabilty of free space is 1 . 25664 × 10 6 T · m / A. 1. 0.8 2. 3.14286 3. 1.51852 4. 1.40426 5. 2.07692 6. 0.72 7. 3.34694 8. 2.37288 9. 0.385965 10. 1.26316
Version 036 – Final 58010 Fall 14 – yeazell – (58010) 5 Correct answer: 0 . 385965 cm. Explanation: Let : I = 1 . 1 A , μ 0 = 1 . 25664 × 10 6 T · m / A , and B = 5 . 7 × 10 5 T . The magnetic field is B = μ 0 I 2 π r r = μ 0 I 2 π B = ( 1 . 25664 × 10 6 T · m / A ) (1 . 1 A) 2 π (5 . 7 × 10 5 T) · parenleftbigg 100 cm 1 m parenrightbigg = 0 . 385965 cm . 009 10.0points An electric field pointing in the positive x - direction has an x component that varies with position as given by E x = (5000 V / m 3 ) x 2 . Find the potential difference between two points on the x -axis. The initial point is x 1 = 1 m and the final point is x 2 = 3 m. 1. -82666.7 m 1 g 4 m / s 2 Ω I 5 m
2. -42000.0 3. -105000.0 4. -34666.7 5. -41333.3 6. -124000.0 7. -84000.0 8. -8666.67 9. -43333.3 10. -9333.33 The applied force moves the bar to the right at a constant speed of 4 m / s. Assume the bar and rails have negligible resistance and friction. There is an induced current flowing through the loop made by the resistor, rails, and bar. Give the magnitude of the induced current.
Version 036 – Final 58010 Fall 14 – yeazell – (58010) 6 Correct answer: 90 A.
Explanation: