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A cylindrical block of density d stays fully immersed in a beaker filled with two immiscible liquids of different densities $d_{1} {and d}_{2}$ . The block is in equilibrium with half pf it in liquid 1 and the other half in liquid 2 as shown in the Fig. If the block is given a displacement downwards and released, then neglecting friction study the following statements.

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The displacement of the centre of the cylinder is symmetric about its equilibrium position

It executes simple harmonic motion

Its motion is periodic but not simple harmonic

The frequency of oscillation is independent of the size of the cylinder

answer is A, D.

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