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Q.

Which of the following determines the strength of the buoyant force acting on a body with a fixed volume when it is entirely submerged in a liquid?

 

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a

The density of liquid

b

The mass of the body

c

The shape of the body

d

The volume of the liquid container

answer is A.

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Detailed Solution

  • According to Archimedes’ principle, when a body is immersed fully or partially in a fluid, it experiences an upthrust or the buoyant force that is equal to the weight of the fluid displaced by it. 
  • We know, Weight = Mass x acceleration due to gravity (g) and Mass = Density x volume
  • Weight of the displaced liquid = Volume of displaced liquid x Density of the liquid x g
    Buoyant force = Volume of displaced liquid x Density of the liquid x g
  • As we can see, among the above terms, only the density of the liquid is given in the options.

Therefore, we can say that the buoyant force will depend on the density of the liquid.

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