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Two billion years ago a uranium deposit in Oklo (Africa) spontaneously underwent nuclear fission. This was determined by depletion of Uranium-235 in uranium ore from the region. The atomic ratio of Uranium-235 to Uranium-238 in current uranium is 1:139. What was the ratio of these two isotopes when the natural reactor went critical. Show your work.
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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