JEE Main 2025 — Mechanical Properties of Fluids Question with Solution
JEE Main 2025 (28 Jan Shift 2)
Question
A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water ?
(Given : density of water )
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Volume of cube inside water
$\begin{aligned}
& =\left(\frac{\text { Denslty of cube }}{\text { Denslty of water }}\right) \times \text { Volume of cube } \\
& =\frac{\text { Mass of cube }}{\text { Denslty of water }} \\
& =\frac{400 \mathrm{gm}}{1 \mathrm{gm} / \mathrm{cm}^3} \\
& =400 \mathrm{~cm}^3
\end{aligned}$
Volume of cube outside water
$\begin{aligned}
& =\text { Volume of cube }- \text { Volume of cube inside water } \\
& =1000 \mathrm{~cm}^3-400 \mathrm{~cm}^3 \\
& =600 \mathrm{~cm}^3
\end{aligned}$
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This is a previous-year question from JEE Main 2025, covering the Mechanical Properties of Fluids chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.