A thin plate of large area is placed midway in a gap of height `h` filled with oil of viscosity `eta_(0)` 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`.

Options

A. `(mu_(1)h)/(mu_(1)+mu_(2)).(h)/(1+sqrt((mu_(2))/(mu_(2))))`
B. `(mu_(2)h)/(mu_(1)+mu_(2)).(h)/(1+sqrt((mu_(1))/(mu_(2))))`
C. `(mu_(1)h)/(mu_(1)+mu_(2)).(h)/(1+sqrt((mu_(1))/(mu_(2))))`
D. `(mu_(2)h)/(mu_(1)+mu_(2)).(h)/(1+sqrt((mu_(2))/(mu_(1))))`

Answer

D