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The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400?
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The density of a material in CGS system of units is 4 g cm-3 . In a sy...
The density of a material in CGS system of units is 4 g cm-3. In a system of units in which the unit of length is 10 cm and the unit of mass is 100 g, the value of the density of the material will be:
To solve this problem, we need to understand the concept of density and how it relates to different systems of units.
Density:
Density is defined as the mass per unit volume of a substance. Mathematically, it is expressed as:
Density = Mass / Volume
In the CGS system of units, the unit of mass is gram (g) and the unit of length is centimeter (cm).
Given:
Density in CGS system = 4 g/cm3
Converting to a new system of units:
In the new system of units, the unit of length is 10 cm and the unit of mass is 100 g.
To convert the density to the new system of units, we need to adjust both the mass and volume units.
Mass Conversion:
Since the unit of mass is 100 g in the new system, we need to divide the given density by 100 to adjust the mass unit.
Density in the new system = (4 g/cm3) / 100 = 0.04 g/cm3
Volume Conversion:
To adjust the volume unit, we need to consider the relationship between the two systems of units.
1 cm3 in the CGS system is equivalent to (10 cm)3 in the new system.
Therefore, the volume in the new system is given by:
Volume in the new system = (Volume in CGS system) * (Conversion factor)
Volume in the new system = (1 cm3) * (10 cm)3 = 1000 cm3
Final Calculation:
Now, we can calculate the density in the new system of units by using the adjusted mass and volume values.
Density in the new system = Mass / Volume
Density in the new system = 0.04 g / 1000 cm3
Density in the new system = 0.00004 g/cm3
Therefore, the value of the density of the material in the new system of units is 0.00004 g/cm3.
Answer:
The correct option is (a) 0.04 g/cm3.
To solve this problem, we need to understand the concept of density and how it relates to different systems of units.
Density:
Density is defined as the mass per unit volume of a substance. Mathematically, it is expressed as:
Density = Mass / Volume
In the CGS system of units, the unit of mass is gram (g) and the unit of length is centimeter (cm).
Given:
Density in CGS system = 4 g/cm3
Converting to a new system of units:
In the new system of units, the unit of length is 10 cm and the unit of mass is 100 g.
To convert the density to the new system of units, we need to adjust both the mass and volume units.
Mass Conversion:
Since the unit of mass is 100 g in the new system, we need to divide the given density by 100 to adjust the mass unit.
Density in the new system = (4 g/cm3) / 100 = 0.04 g/cm3
Volume Conversion:
To adjust the volume unit, we need to consider the relationship between the two systems of units.
1 cm3 in the CGS system is equivalent to (10 cm)3 in the new system.
Therefore, the volume in the new system is given by:
Volume in the new system = (Volume in CGS system) * (Conversion factor)
Volume in the new system = (1 cm3) * (10 cm)3 = 1000 cm3
Final Calculation:
Now, we can calculate the density in the new system of units by using the adjusted mass and volume values.
Density in the new system = Mass / Volume
Density in the new system = 0.04 g / 1000 cm3
Density in the new system = 0.00004 g/cm3
Therefore, the value of the density of the material in the new system of units is 0.00004 g/cm3.
Answer:
The correct option is (a) 0.04 g/cm3.
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The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400?
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The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400?.
The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400?.
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The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400?, a detailed solution for The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400? has been provided alongside types of The density of a material in CGS system of units is 4 g cm-3 . In a system of units in which unit of legth is 10cm and unit of mass is 100g, the value of density of material will be (a) 0.04 (b) 0.4 (c) 40 (d) 400? theory, EduRev gives you an
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