Jee Advanced
Properties Of Matter
IIT-JEE 2006
MCQ+3 / -12006
A wooden cylinder of diameter $4 r$, height $h$ and density $\frac{\rho}{3}$ is kept on a hole of diameter $2 r$ of a tank, filled with water of density $\rho$ as shown in the figure. The height of the base of cylinder from the base of tank is H .
If the level of liquid starts decreasing slowly when the level of liquid is at a height $h_1$ above the cylinder, the block just starts moving up. Then, the value of $h_1$ is: