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A test tube filled with liquid of uniform density , as shown in the figure, is spun in a centrifuge with angular frequency . The test tube lies...

A test tube filled with liquid of uniform density , as shown in the figure, is spun in a centrifuge with angular frequency . The test tube lies perpendicular to the axis of rotation of the centrifuge. The pressure in the fluid at the distance from the axis of rotation is . You may ignore the variation in pressure with depth; asume that it is much smaller than the variation in pressure with radius.

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