On which of the following factors the magnitude of the buoyant force acting on a body in a given fluid depends?

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RRC Group D Previous Paper 41 (Held On: 16 Oct 2018 Shift 2)
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  1. Weight of the body immersed in it
  2. Shape of the body immersed in the fluid.
  3. Density of the fluid and mass of the body immerse in it 
  4. Density of the fluid and the volume of the body immersed in it 

Answer (Detailed Solution Below)

Option 4 : Density of the fluid and the volume of the body immersed in it 
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RRB Group D Full Test 1
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Detailed Solution

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The correct answer is the Density of the fluid and the volume of the body immersed in it.

Key Points

  • The buoyant force depends on the volume of the liquid displaced. The buoyant force depends on the mass of the object, the weight of the object, and its density.
  • The buoyant force depends directly upon:
    • The volume of the fluid displaced.
    • The density of the fluid in which the body is immersed.
    • Acceleration due to gravity at the place.

Important Points

  • The three types of buoyancy are positive buoyancy, negative buoyancy, and neutral buoyancy.
    • Positive buoyancy is when the immersed object is lighter than the fluid displaced and this is the reason why the object floats.
    • Negative buoyancy is when the immersed object is denser than the fluid displaced which results in the sinking of the object.
    • Neutral buoyancy takes place when the weight of an immersed object is equal to the fluid displaced

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