MHT CET 2024 Physics question
A hemispherical portion of radius 'R' is removed from the bottom of cylinder of radius 'R'. The volume of the remaining cylinder is 'v' and its mass is 'M'. It is suspended by a string in a liquid of density '' where it stays vertical. The upper surface of the cylinder is at a depth 'h' below the liquid surface. The force on the bottom of the cylinder due to the liquid is
Answer: (D)
Solution
Let the force of the liquid on the top face be (downwards, gauge pressure). The liquid's net force on the whole body is the buoyant force upwards, because the body displaces a liquid volume (the hemispherical hollow is filled by liquid and is not part of the
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