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An inverted cylindrical tube is immersed in water with 20.0 cm protruding from the surface (see figure). The bottom of the tube is open, while the top is closed. Inside the tube there is a trapped column of air that, at equilibrium, is 30.0 cm high. The entire system is at room temperature (25 degrees Celcius). If the tube is pushed down until it is completely immersed in the water, after the temperature gets back to 25 degrees Celcius, what will be the final pressure of the air?
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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