A cubical block of side \( a \) is floating in a fixed and closed cylindrical container of rad...

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A cubical block of side \( a \) is floating in a fixed and closed cylindrical container of radius \( 2 a \) kept on the ground. Density of the block is \( \rho \), whereas the density of liquid is \( 2 \rho \). Container is made up of conducting wall so that the temperature remains constant. A piston is mounted in the cylinder which can move inside the cylinder without friction. If piston oscillates with large amplitude \( A \) :
(a) The cube will remain stationary
(b) The cube will oscillate with very small amplitude in same phase with piston
(c) The cube will oscillate with very small amplitude in opposite phase with piston
(d) The cube will oscillate with amplitude \( A \)
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