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The density of material in c. g. s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, what is the numerical value of density of the material is?
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The density of material in c. g. s system is 2g/cc. In a system of uni...
Density Conversion in c.g.s System
Given:
Density in c.g.s system = 2 g/cc
To find:
Density in the given system of units
Conversion Factors:
1 cc = 1 cm³ (since 1 cc = 1 cm³)
1 g = 1 g (no conversion needed)
Conversion of Units:
Since the given system uses different units for length and mass, we need to convert the given density into the units used in the new system.
Conversion of Length:
1 cm = 2 cm (given conversion factor)
Therefore, to convert the density from g/cc to g/(2 cm)³, we need to multiply the given density by the conversion factor of length.
Conversion of Mass:
1 g = 4 g (given conversion factor)
Therefore, to convert the density from g/(2 cm)³ to (4 g)/(2 cm)³, we need to multiply the density obtained from the conversion of length by the conversion factor of mass.
Numerical Calculation:
Density in g/(2 cm)³ = (2 g/cc) * (2 cm/1 cm)³ * (4 g/1 g)
= (2 * 2 * 2 * 4) g/(1 * 1 * 1 * 1 * 1 cm³)
= 32 g/(1 cm)³
Final Answer:
The numerical value of the density of the material in the given system of units is 32 g/(1 cm)³.
Given:
Density in c.g.s system = 2 g/cc
To find:
Density in the given system of units
Conversion Factors:
1 cc = 1 cm³ (since 1 cc = 1 cm³)
1 g = 1 g (no conversion needed)
Conversion of Units:
Since the given system uses different units for length and mass, we need to convert the given density into the units used in the new system.
Conversion of Length:
1 cm = 2 cm (given conversion factor)
Therefore, to convert the density from g/cc to g/(2 cm)³, we need to multiply the given density by the conversion factor of length.
Conversion of Mass:
1 g = 4 g (given conversion factor)
Therefore, to convert the density from g/(2 cm)³ to (4 g)/(2 cm)³, we need to multiply the density obtained from the conversion of length by the conversion factor of mass.
Numerical Calculation:
Density in g/(2 cm)³ = (2 g/cc) * (2 cm/1 cm)³ * (4 g/1 g)
= (2 * 2 * 2 * 4) g/(1 * 1 * 1 * 1 * 1 cm³)
= 32 g/(1 cm)³
Final Answer:
The numerical value of the density of the material in the given system of units is 32 g/(1 cm)³.
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The density of material in c. g. s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, what is the numerical value of density of the material is?
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The density of material in c. g. s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, what is the numerical value of density of the material is? 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 material in c. g. s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, what is the numerical value of density of the material is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of material in c. g. s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, what is the numerical value of density of the material is?.
The density of material in c. g. s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, what is the numerical value of density of the material is? 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 material in c. g. s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, what is the numerical value of density of the material is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of material in c. g. s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, what is the numerical value of density of the material is?.
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