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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Mechanical Properties of Fluids

Olympiad workbook · NSEP · Mechanical Properties of Fluids

A solid wooden block with a uniform cross section is floating in...

A solid wooden block with a uniform cross section is floating in water (density ρw\rho_{\mathrm{w}} ) with a height h1h_1 below water. Now a flat slab of stone is placed over the wooden block but the block still floats with a height h2h_2 below water. Afterwards the stone is removed from the top and pasted at the bottom of the wooden block. The wooden block now floats with a height h3h_3 under water. Therefore, the density of the stone is

Options

  1. Ah2−h1h3−h1ρw\frac{h_2-h_1}{h_3-h_1} \rho_w
  2. Bh2−h3h2−h1ρw\frac{h_2-h_3}{h_2-h_1} \rho_w
  3. Ch2−h1h2−h3ρw\frac{h_2-h_1}{h_2-h_3} \rho_w
  4. Dh3h2−h1ρw\frac{h_3}{h_2-h_1} \rho_w

Correct answer

C. h2−h1h2−h3ρw\frac{h_2-h_1}{h_2-h_3} \rho_w

Step-by-step solution

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