TS EAMCET · Physics · Mechanical Properties of Fluids
A cubical block of wood having mass of \(160 \mathrm{~g}\) has a metal piece fastened underneath as shown in the figure. Find the maximum mass of the metal piece which will allow the block to float in water. Specific gravity of wood is 0.8 and that metal is 10 and density of water \(=1 \mathrm{~g} / \mathrm{cc}\).

- A \(55.5 \mathrm{~g}\)
- B \(44.4 \mathrm{~g}\)
- C \(33.3 \mathrm{~g}\)
- D \(66.6 \mathrm{~g}\)
Answer & Solution
Correct Answer
(B) \(44.4 \mathrm{~g}\)
Step-by-step Solution
Detailed explanation
Volume of wood block \(=\frac{\text { Mass }}{\text { Density }}=\frac{160}{0.8 \times 1}\) \(=\frac{1600}{8}=200 \mathrm{~cm}^3\) Let mass of metal piece is \(x \mathrm{~g}\).…
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