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Two very narrow rays of light of different colors are incident on a glass plate at different angles. The difference in angle is exaggerated for the sake of clarity. It so happens that the two rays coalesce into one ray on entry into the glass as shown in the diagram.
a) Which of the two rays has the higher index of refraction in glass? Explain your reasoning.
b) Sketch the rays reflected from the bottom surface of the glass and emerging back into the air through the upper surface of the glass. Explain your reasoning.
c) Suppose the angle of incidence of rays A and B were increased without changing the angle between them. At what angle of incidence at the upper surface of the glass would a ray of either A or B, reflected from the bottom surface, undergo total internal reflection within the glass? What would simultaneously be happening to the ray of the other color? Explain your reasoning.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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