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The mass of water displaced by a solid of mass 400 g and volume 150 cm3 is
- a)150 cm3
- b)150 g
- c)400 g
- d)250 g
Correct answer is option 'B'. Can you explain this answer?
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Mass and Volume
The mass of an object refers to the amount of matter it contains, while the volume refers to the amount of space it occupies. In this question, we are given the mass and volume of a solid and asked to determine the mass of water displaced by it.
Understanding Displacement
When an object is submerged in a fluid, it displaces an amount of fluid equal to its own volume. This is known as Archimedes' principle. In the case of water, the volume of water displaced by an object is equal to the volume of the object itself.
Applying Archimedes' Principle
In this question, the solid has a volume of 150 cm3. According to Archimedes' principle, the volume of water displaced by the solid will also be 150 cm3.
Calculating the Mass of the Displaced Water
To determine the mass of the displaced water, we need to use the density of water. The density of water is approximately 1 g/cm3.
We can use the formula:
Mass = Density × Volume
Substituting the values in the formula:
Mass = 1 g/cm3 × 150 cm3
Mass = 150 g
Answer: Option B
Therefore, the mass of water displaced by the solid of mass 400 g and volume 150 cm3 is 150 g.
The mass of an object refers to the amount of matter it contains, while the volume refers to the amount of space it occupies. In this question, we are given the mass and volume of a solid and asked to determine the mass of water displaced by it.
Understanding Displacement
When an object is submerged in a fluid, it displaces an amount of fluid equal to its own volume. This is known as Archimedes' principle. In the case of water, the volume of water displaced by an object is equal to the volume of the object itself.
Applying Archimedes' Principle
In this question, the solid has a volume of 150 cm3. According to Archimedes' principle, the volume of water displaced by the solid will also be 150 cm3.
Calculating the Mass of the Displaced Water
To determine the mass of the displaced water, we need to use the density of water. The density of water is approximately 1 g/cm3.
We can use the formula:
Mass = Density × Volume
Substituting the values in the formula:
Mass = 1 g/cm3 × 150 cm3
Mass = 150 g
Answer: Option B
Therefore, the mass of water displaced by the solid of mass 400 g and volume 150 cm3 is 150 g.
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The mass of water displaced by a solid of mass 400 g and volume 150 cm3isa)150 cm3b)150 gc)400 gd)250 gCorrect answer is option 'B'. Can you explain this answer?
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