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

Question

Paragraph: A wooden cylinder of diameter 4 r , height H and density ρ /3 is kept on a hole of diameter 2 r of a tank, filled with liquid of density ρ as shown in the figure. Question: Now level of the liquid starts decreasing slowly. When the level of liquid is at a height h 1 ​ above the cylinder, the block starts moving up. At what value of h 1 ​ , will the block rise?

TestHub · Accepted Answer

Let A 1 ​ = Area of cross-section of cylinder = 4 π r 2 A 2 ​ = Area of base of cylinder in air = π r 2 and A 3 ​ = Area of base of cylinder in water = A 1 ​ − A 2 ​ = 3 π r 2 Drawing free body diagram of cylinder. Equation the net downward forces and net upward forces, we get h 1 ​ = 3 5 ​ H

Physics - Fluid Question with Solution | TestHub

Options:

Doubts & Discussion