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Q.

An incompressible liquid is kept in a long conducting cylindrical container, which is closed at its top by an airtight light piston. A cylinder of length 10 cm and density 0.65 g/cm3 floats with half-length submerged in the liquid as shown in the figure. Air trapped in the cylinder has density 1.30kg/m3.
On placing extra weight on the piston pressure of the air in the cylinder is increased to 100 times of the initial pressure. What can you conclude?
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a

Cylinder moves downwards

b

Cylinder moves upwards

c

Displacement of the cylinder is 0.55 cm

d

Displacement of the cylinder is 0.6 cm

answer is B, C.

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Density of gas will become comparable to liquid; buoyancy will be significant

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