The density of wood is X gcm−3. Find [10X].{ Where , [] is a step function}
A
5
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B
6
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C
0
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D
7
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Solution
The correct option is D6 Let the densities of water, wood and spirit are ρ,ρw,ρs Let A be the area of the wooden block Total volume of the wooden block =15A Mass of wood = mass of water displaced by wood V×ρw×g=A×10×ρ×g ⇒ρw=A×10×ρ×gV×g=0.667g/cm3