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ExamsJEE AdvancedGeneral

Consider a thin square plate floating on a viscous liquid in a large tank. 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?

  1. The resistive force of liquid on the plate is inversely proportional to h
  2. The resistive force of liquid on the plate is independent of the area of the plate
  3. The tangential (shear) stress on the floor of the tank increases with u 0
  4. The tangential (shear) stress on the plate varies linearly with the viscosity η of the liquid

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

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