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The density of a material in CGS system of units is 4g∕cm3 In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be
- a)0.04
- b)0.4
- c)40
- d)400
Correct answer is option 'C'. Can you explain this answer?
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The density of a material in CGS system of units is 4g∕cm3 In a syste...
Ln CGS, d = 4g∕cm3
If unit of mass is 100g,4g mass in new units is 4/100 units
and unit of distance is 10cm,1cm in new units is 1/100 units
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The density of a material in CGS system of units is 4g∕cm3 In a syste...
In the CGS system of units, density is typically measured in grams per cubic centimeter (g/cm³). The given density of the material is 4 g/cm³.
Now, let's convert the units to the new system where the unit of length is 10 cm and the unit of mass is 100 g.
To convert the density, we need to consider the dimensions of density, which is mass per unit volume. In the CGS system, the unit of volume is cubic centimeter.
Let's consider a cube of material with dimensions 1 cm × 1 cm × 1 cm. The volume of this cube is 1 cm³.
In the new system, where the unit of length is 10 cm, the dimensions of the cube would be 10 cm × 10 cm × 10 cm, resulting in a volume of 1000 cm³.
Now, let's calculate the mass of the material in the new system. Since the density is given as 4 g/cm³, the mass of 1 cm³ of material would be 4 g.
In the new system, where the unit of mass is 100 g, the mass of the material in the cube would be (4 g/cm³) × (100 g/4 g) = 100 g.
Finally, let's calculate the density in the new system. The density is defined as mass per unit volume.
Density = mass/volume
In the new system, the mass is 100 g and the volume is 1000 cm³.
Density = 100 g / 1000 cm³ = 0.1 g/cm³
Therefore, the value of the density of the material in the new system is 0.1 g/cm³.
Since the options provided do not match the calculated density, it seems there may be an error in the question or options. The correct answer cannot be determined based on the given information.
Now, let's convert the units to the new system where the unit of length is 10 cm and the unit of mass is 100 g.
To convert the density, we need to consider the dimensions of density, which is mass per unit volume. In the CGS system, the unit of volume is cubic centimeter.
Let's consider a cube of material with dimensions 1 cm × 1 cm × 1 cm. The volume of this cube is 1 cm³.
In the new system, where the unit of length is 10 cm, the dimensions of the cube would be 10 cm × 10 cm × 10 cm, resulting in a volume of 1000 cm³.
Now, let's calculate the mass of the material in the new system. Since the density is given as 4 g/cm³, the mass of 1 cm³ of material would be 4 g.
In the new system, where the unit of mass is 100 g, the mass of the material in the cube would be (4 g/cm³) × (100 g/4 g) = 100 g.
Finally, let's calculate the density in the new system. The density is defined as mass per unit volume.
Density = mass/volume
In the new system, the mass is 100 g and the volume is 1000 cm³.
Density = 100 g / 1000 cm³ = 0.1 g/cm³
Therefore, the value of the density of the material in the new system is 0.1 g/cm³.
Since the options provided do not match the calculated density, it seems there may be an error in the question or options. The correct answer cannot be determined based on the given information.
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The density of a material in CGS system of units is 4g∕cm3 In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will bea)0.04b)0.4c)40d)400Correct answer is option 'C'. Can you explain this answer?
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The density of a material in CGS system of units is 4g∕cm3 In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will bea)0.04b)0.4c)40d)400Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The density of a material in CGS system of units is 4g∕cm3 In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will bea)0.04b)0.4c)40d)400Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of a material in CGS system of units is 4g∕cm3 In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will bea)0.04b)0.4c)40d)400Correct answer is option 'C'. Can you explain this answer?.
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