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Volume of a 500 g box is 450 cm cube. What is relative density of the material of the box and its weight in water? Please give a detailed solution along with the answer.... a. 1.43, 100 g b. 1.45, 50 g c.1.11, 50 g |
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Answer» box = 500gvolume of box = 450 cm³density = mass / volume⇒ d = 500/450 g/cm³⇒ d = 10/9 g/cm³⇒ d = 1.11 g/cm³relative DENSITY of a SUBSTANCE = density of substance / density of WATERDENSITY of box = 1.11 g/cm³density of WATER = 1 g/cm³relative density of box = 1.11 / 1 = 1.11(note that it has no unit)If density of a substance is less than density of water, it will float on water and its weight in water will be 0. But density of box is higher than density of water. SINCE density of box is higher than density of water, it will submerge in water and it will have some weight in water.weight of box in water =(density of box - density of water)×volume of box×g⇒ weight in water = [(10/9) -1]×450×g = [(10-9)/9]×450×g = (1/9) ×450×g = 50 gSo correct option is (c). |
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