Paragraph: A wooden cylinder of diameter 4 r , height H and density...

Paragraph: 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 liquid of density

\rho

as shown in the figure. Paragraph: A wooden cylinder of diameter 4 r , height H and density / 3 is kept on a hole of diameter 2 r of a tank,

Question: The block in the above question is maintained at the position by external means and the level of liquid is lowered. The height

h_2

when this external force reduces to zero is Paragraph: A wooden cylinder of diameter 4 r , height H and density / 3 is kept on a hole of diameter 2 r of a tank,

Options

A $\frac{4 h}{9}$
B $\frac{5 h}{9}$
Cremains same
D $\frac{2 h}{3}$

Correct answer

A. $\frac{4 h}{9}$

Step-by-step solution

Again equating the forces, we get h_2=

\frac{4 h}{9}

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