A solid of density 900 kg/m3floats in oil. The oil floats on water of ...
- If the solid with a density of 900 kg/m³ is able to float in the oil and the oil, in turn, floats on water with a density of 1000 kg/m³, then indeed the density of the oil must be between the densities of the solid and the water.
- A solid of density 900 kg/m3 floats in oil as the density of solid is less than that of oil.
- And the oil floats in water as its density is less than that of water.
- So, the density of oil must be between 900 kg/m3 to1000 kg/m3.
- Therefore, the density of oil could be 950 kg/m3.
- This density would allow the solid to float in the oil, and the oil would float on the water.
Thus, A solid of density 900 kg/m3 floats in oil. The oil floats on water of density 1000 kg/m3. The density of oil in kg/m3 could be 950 kg/m3.
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A solid of density 900 kg/m3floats in oil. The oil floats on water of ...
Understanding the Problem
To determine the density of the oil in which the solid floats, we need to consider the principles of buoyancy.
Key Concepts
- Buoyancy Principle: An object floats when the weight of the fluid displaced is equal to the weight of the object.
- Densities Involved:
- Density of the solid = 900 kg/m3
- Density of water = 1000 kg/m3
- Density of oil = ? (to be determined)
Analyzing the Situation
1. Floating Conditions:
- For the solid to float in oil, the oil's density must be less than the density of the solid, as it is floating on the oil.
- The oil itself must be less dense than water in order to float on it.
2. Density Relationships:
- Since the solid has a density of 900 kg/m3, the density of oil must be greater than 900 kg/m3 for the solid to float.
- The oil must also be less dense than water (1000 kg/m3).
Determining the Density of Oil
Given the constraints:
- The oil density must satisfy: 900 kg/m3 < density="" of="" oil="" />< 1000="" />
The possible options for the density of oil are:
- a) 950 kg/m3
- b) 850 kg/m3
- c) 800 kg/m3
- d) 1050 kg/m3
Among these options, only 950 kg/m3 fits the requirement of being greater than 900 kg/m3 (to support the solid) and less than 1000 kg/m3 (to float on water).
Conclusion
Therefore, the correct answer for the density of oil is option a) 950 kg/m3.