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KVPY2012PhysicsMechanical Properties of Fluids

A solid cube and a solid sphere both made of same material are completely submerged in water but to different depths. The sphere and the cube have same surface area. The buoyant force is-

Options

  1. AGreater for the cube than the sphere
  2. BGreater for the sphere than the cube
  3. CSame for the sphere and the cube
  4. DGreater for the object that is submerged deeper

Correct answer

B. Greater for the sphere than the cube

Step-by-step solution

buyount force B = V _ l ~g , V _ cube V _ spbere = a ³ 4 3 R ³ but it is given 6 a ²=4 R ² so, V _ cube V _ spbere = 6

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