TS EAMCET · Physics · Mechanical Properties of Fluids
A cube of side 40 cm is floating with \(\frac{1}{4}\) th of its volume immersed in water. When a circular disc is placed on the cube, it floats with \(\frac{2}{5}\) th of its volume immersed in water. The mass of the disc is
- A 6.4 kg
- B 3.2 kg
- C 9.6 kg
- D 1.6 kg
Answer & Solution
Correct Answer
(C) 9.6 kg
Step-by-step Solution
Detailed explanation
\(V = (0.4 \text{ m})^3 = 0.064 \text{ m}^3\) \(m_{disc} = \rho_w V \left(\frac{2}{5} - \frac{1}{4}\right)\) \(m_{disc} = 1000 \text{ kg/m}^3 \times 0.064 \text{ m}^3 \times \left(\frac{8 - 5}{20}\right)\) \(m_{disc} = 1000 \times 0.064 \times \frac{3}{20}\)…
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