TS EAMCET · Physics · Mechanical Properties of Fluids
A wooden block of outer volume 1 litre and specific gravity \(\frac{3}{4}\) having a cavity floats with half of its volume immersed in water. Then the volume of the cavity is
- A 250 ml
- B 500 ml
- C 333.3 ml
- D 666.6 ml
Answer & Solution
Correct Answer
(C) 333.3 ml
Step-by-step Solution
Detailed explanation
\( \rho_{water} V_{immersed} = \rho_{wood} (V_{outer} - V_{cavity}) \) \( 1 \text{ g/cm}^3 \times \frac{1}{2} (1000 \text{ cm}^3) = \frac{3}{4} \text{ g/cm}^3 \times (1000 \text{ cm}^3 - V_{cavity}) \) \( 500 = 0.75 \times (1000 - V_{cavity}) \) \( 500 = 750 - 0.75 V_{cavity} \)…
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