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 ' \rho '. 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 P_{0}.

Buoyant force acting on object is independent of atmospheric pressure

Normal force exerted by vertical wall is \frac{\rho g r^{2} ℓ}{2}

The pressure force exerted by liquid on slant surface ADC of prism is (2+\sqrt{3}) r^{2} \rho ℓ g

Weight of object is (\sqrt{3}+1+\frac{\pi}{4}) r^{2} ℓ \rho g

JEE Advanced 2020 Full Test 1 Paper 1

Question : 7 of 54

Marks: +1, -0

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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