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A cylindrical tank has a hole of diamete...

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.
In situation 2, if `h_2` is further decreased, then

A

cylinder will not move up and remains at its original position

B

for `h_2 =h/3` , cylinder again starts moving up

C

for `h_2 =h/4`, cylinder again starts moving up

D

for `h_2 =h/5` , cylinder again starts moving up.

Text Solution

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