The relative density of a solid is 0.6. It floats in water witha)40% o...
When it placed in water , the solid will balance itself when 60% of its volume is under water , or 40% of its volume is outside the water...
THUS, OPTION (b) IS CORRECT.
The relative density of a solid is 0.6. It floats in water witha)40% o...
Explanation:
Relative density, also known as specific gravity, is the ratio of the density of a substance to the density of a reference substance. In this case, the reference substance is water.
The relative density of a solid is given as 0.6. This means that the density of the solid is 0.6 times the density of water.
When an object is placed in a fluid, such as water, it experiences an upward buoyant force equal to the weight of the fluid it displaces. If this buoyant force is greater than or equal to the weight of the object, the object will float.
In this case, the relative density of the solid is less than 1, indicating that the solid is less dense than water. Therefore, the solid will float in water.
Now let's consider the options:
a) 40% of its volume inside water
If only 40% of the volume of the solid is inside water, it means that the remaining 60% of the volume is outside the water. Since the solid is less dense than water, it will not be able to displace enough water to create a buoyant force greater than its weight. Therefore, the solid will sink and not float.
b) 60% of its volume inside water
If 60% of the volume of the solid is inside water, it means that the remaining 40% of the volume is outside the water. Since the solid is less dense than water, it will be able to displace enough water to create a buoyant force greater than its weight. Therefore, the solid will float.
c) Whole of its volume inside water
If the whole volume of the solid is inside water, it means that the solid is completely submerged in water. Since the solid is less dense than water, it will be able to displace enough water to create a buoyant force greater than its weight. Therefore, the solid will float.
d) Any fraction of its volume inside water
If any fraction of the volume of the solid is inside water, it means that the solid is partially submerged in water. Since the solid is less dense than water, it will be able to displace enough water to create a buoyant force greater than its weight. Therefore, the solid will float.
Therefore, the correct answer is option 'B' - 60% of its volume inside water.
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