A block of wood with a relative density of 0.36 floats on an oil with a relative density of 0.9. The volume of the wooden block above the oil surface, as a percentage of its total volume: A) 30% B) 40% C) 50% D) 60% E) 80%
Question
A block of wood with a relative density of 0.36 floats on an oil with a relative density of 0.9. The volume of the wooden block above the oil surface, as a percentage of its total volume:
A) 30% B) 40% C) 50% D) 60% E) 80%
Solution
The relative density of an object is the ratio of its density to the density of a reference substance. In this case, the relative density of the block of wood is 0.36, and the relative density of the oil is 0.9.
When an object floats, the volume of the object submerged in the fluid is proportional to the ratio of the object's density to the fluid's density.
So, the volume of the wooden block submerged in the oil is (0.36/0.9) = 0.4 or 40% of the total volume of the block.
Therefore, the volume of the wooden block above the oil surface is 100% - 40% = 60% of the total volume of the block.
So, the correct answer is D) 60%.
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