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A thin plate of large area is placed mid...

A thin plate of large area is placed midway in a gap of height `h` filled with oil of viscosity and the plate is pulled at constant velocity `v `by applying the same drag force on the plate. If a lighter oil of viscosity `eta` is then substituted in the gap. it is found that for the velocity `v`, and the same drag force as previous case the plate is located unsymmetrically in the gap but parallel to the walls. Find `eta` in terms of distance from nearer wall to the plane `y`.

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