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Concepts Of Physics MCQ Edition [Volume 1]PhysicsFluid Mechanics

As shown in the figure, a cube of ice floats partly in water and partly in K.oil. Determine the ratio of the volume of ice immersed in water to that immersed in K.oil. The specific gravity of K.oil is 0.8 and that of ice is 0.9 .

Options

  1. A9 : 8
  2. B1 : 1
  3. C1 : 2
  4. D8 : 9

Correct answer

B. 1 : 1

Step-by-step solution

Let the total volume of the ice cube be V . Let V_w and V_k be the volumes of the ice cube immersed in water and K.oil respectively. Since the ice cube is completely submerged in the two liquids, V = V_w + V_k . For the ice cube to float in equilibrium, its total weight must be balanced by the total buoyant force exerted by the water and K.oil. Total weight of ice = Buoyant force due to water + Buoyant force due to K.oil V _i g = V_w _w g + V_k _k g Substituting the specific gravities (which are proportional to den

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