JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
A cubical block of side \(0.5\,m\) floats on water with \(30\%\) of its volume under water. ....... \(kg\) is the maximum weight that can be put on the block without fully submerging it under water ? [Take density of water \(= 10^3\,kg/m^3\) ]
- A \(46.3\)
- B \(65.4\)
- C \(30.1\)
- D \(87.5\)
Answer & Solution
Correct Answer
(D) \(87.5\)
Step-by-step Solution
Detailed explanation
\(0.3\,{\ell ^3}\,{\rho _\omega } = {\ell ^3}\rho \) \(\rho = 300\frac{{kg}}{{{m^3}}}\) \(m + {\ell ^3}\rho = {\ell ^3}{\rho _\omega }\) \(M = {\ell ^3}\left( {{\rho _w} - \rho } \right) = {\left( 0.5 \right)^3}\left\{ {1000 - 300} \right\}\)…
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