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consider a thin square plate floating on a viscous liquid in a large thank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity $u_{0}$ . Which of the following statements is (are) true?

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The tangential (shear) stress on the floor of the tank increases with $u_{0}$ .

The tangential (shear) stress on the plate varies linearly with the viscosity $η$ of the liquid.

The resistive force of liquid on the plate is inversely proportional to h

The resistive force of liquid on the plate is independent of the area of the plate

answer is A, C, D.

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Detailed Solution

$f = - A \frac{d v}{d h}$

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