JEE Advanced Model Paper 6 with solutions for online practice

A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density ρ/3.

Situation I : Initially, the tank is filled with water of density ρ to a height such that the height of water above the top of the block is h1 (measured from the top of the block) Situation II : The water is removed from the tank to a height h2(measured from the bottom of the block). As shown in the figure. The height h2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere.