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Consider two cylinders of gas identical in all respects except that one contains oxygen O2 and the other helium He. Both cylinders initially contain the same volume of gas at 0oC and 1 atm of pressure and are closed by a movable piston at one end. Both gases are now compressed adiabatically to one-third their original volume.
(a) Which gas will show the greater temperature increase?
(b) Which gas will show the greater pressure increase?
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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