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 the cube have same surface are. The buoyant force is
A
greater for the cube than the sphere
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B
greater for the sphere than the cube
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C
same for the sphere and the cube
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D
greater for the object that is submerged deeper
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Solution
The correct option is B greater for the sphere than the cube 6a2=4πr2 ar=√4π6 BS=43πr3ρg BC=a3ρg BSBC=4πr33a3=4π3⋅64π√64π=2√32π>1 BS>BC.