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JEE Advanced 2020 Full Test 1 Paper 1

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Question : 7

Total: 54

Figure shows cross-sectional view of solid semi cylinder of radius 'r' rigidly attached with solid triangular prism. It floats on a liquid having density ' ρ '. It is in contact with smooth vertical wall. Part BC is not in contact with liquid. The length of object is ' ℓ '. Given (AC=CD=DA). The atmospheric pressure is P0.

Buoyant force acting on object is independent of atmospheric pressure
Normal force exerted by vertical wall is ‌
ρgr2ℓ
2
The pressure force exerted by liquid on slant surface ADC of prism is (2+√3)r2ρℓg
Weight of object is (√3+1+‌
π
4
)r2ℓρg

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