SATHEE: Properties of Matter 4 Question 10

Properties of Matter 4 Question 10

12. 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?

(2018 Adv.)

(a) The resistive force of liquid on the plate is inversely proportional to $h$

(b) The resistive force of liquid on the plate is independent of the area of the plate

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

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Answer:

Correct Answer: 12. (b)

Solution:

Surface energy, $E = (4 π R^{2}) T$

$\begin{aligned} = (4 π) {(1.4 \times 10^{- 3})}^{2} (0.11) \\ = 2.7 \times 10^{- 6} J \end{aligned}$

$∴$ Correct option is (b).

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Properties of Matter 4 Question 10

12. 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 u0. Which of the following statements is (are) true?

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12. 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?