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A diving bell in the shape of a cylinder with height 2.5m is closed at upper end and open at the bottom. It's lowered into the ocean (1.025 kg/m^3) and it goes down to a depth of 82.3 m. The air in bell is initially 293.15K and the air at depth is 277.15K. The pressure of the volume of air in bell at sealevel is 1.013x10^5 N/m^2 and the new pressure of the air in bell at depth is 1.021x10^5 N/m^2. Using the knowledge that the air in bell will change in volume and water will rise into bell by a bit, find the height that water rises into the bell.
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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