1.

A cylinderical 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 of it in liquid 1 and the other half in liquid 2 as shown in the Fig. If the block is given a displacement downwards released, then neglecting friction study the following statements.A. it executes simple harmonic motionB. it motion is oscillatory bu not `SHM`C. frequency of oscillation depends on size of the cylinderD. displacement of centre of cylinder is symmetric about its equilibrium position

Answer» When the block is displaced slightly downwards.
Restarting force, `F_(R )=Axgd_(2)-Axgd_(1)`
`F_(R )=Agx(d_(2)-d_(1))(SHM)`
`rArr omega=sqrt((G(d_(2)-d_(1)))/(Ld_(E)))`


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