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Suppose you are looking down at the earth from inside a jetliner flying at a cruising altitude of 10,000m. The pupil of your eye has a diameter of 2.0mm, and the average refractive index of the material in the eye is 1.36. Determine how far apart two cars must be on the ground to distinguish between them in (a) red light (wavelength 655nm in a vacuum) and (b) violet light (wavelength 405nm in a vacuum).
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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