Question

A wooden cylinder of diameter 4 r, height H and density `rho//3` is kept on a hole of diameter 2 r of a tank, filled with water of density `rho` as shown in the

The block in the above question is maintained by external means and the level of liquid is lowered. The height `h_(2)` when this external force reduces to zero is

A. `(4H)/(9)`
B. `(5H)/(9)`
C. Remains same
D. `(2H)/(3)`

Answer 1

Correct Answer - A
`P_(a)A_(3) + (rho)/(3)A_(3)Hg = P_(a)A_(3) + rhogh_(2)A_(2)`

`h_(2) = 4H//9`.