JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
A tub is filled with water and a wooden cube \(10\) cm \(\times\) \(10\) cm \(\times\) \(10\) cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is placed on the wooden cube, the submerged part is increased by \(3.87\) cm. The mass of the metal coin is _______ gram.
(Take water density as \(1\) g/cm\(^3\) and density of wood as \(0.4\) g/cm\(^3\))
- A 385
- B 386
- C 387
- D 388
Answer & Solution
Correct Answer
(C) 387
Step-by-step Solution
Detailed explanation
Let \(A\) be the base area of the wooden cube. \(A = 10 \text{ cm} \times 10 \text{ cm} = 100 \text{ cm}^2\) Let \(\Delta x\) be the increase in the submerged depth of the cube when the coin is placed on it. \(\Delta x = 3.87 \text{ cm}\) The additional volume of water displaced…
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