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I think it will be less.Hence more volume of body will submerge due to less buoyant force so yet it will make diiference

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Buoyancy force is equal to the weight of liquid or fluid displaced.  Weight is equal to Volume of fluid multiplied by density.  Hence the force is directly proportional to the volume of liquid displaced.

Force = W = M g = Volume * density * g

Hence the force is more when a body displaces more liquid

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