A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden
Channel: Doubtnut
Date: 2020-07-12

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 `rho//3`.  Situation I: Initially, the tank is filled with water of density `rho` to a height such that the height of water above the top of the block is `h_1` (measured from the top of the block).  Situation II: The water is removed from the tank to a height `h_2` (measured from the bottom of the block), as shown in the figure. The height `h_2` is smaller than h (height of the block) and thus the block is exposed to the atmosphere.  Find the minimum value of height `h_1` (in situation 1), for which the block just starts to move up?