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The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :
- a)410
- b)640
- c)16
- d)40
Correct answer is option 'D'. Can you explain this answer?
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The density of a material in SI units is 128 kg m-3. In certain units ...
= 40 units
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The density of a material in SI units is 128 kg m-3. In certain units ...
Given data:
Density in SI units = 128 kg/m³
Unit of length = 25 cm = 0.25 m
Unit of mass = 50 g = 0.05 kg
To find the numerical value of density in the given units, we need to convert the SI units to the given units.
Step 1: Convert the unit of length
The given unit of length is 0.25 m. We need to convert it to the SI unit of length, which is meters.
1 meter = 100 centimeters
0.25 meters = 0.25 * 100 cm = 25 cm
So, the unit of length in the given units is 25 cm.
Step 2: Convert the unit of mass
The given unit of mass is 0.05 kg. We need to convert it to the SI unit of mass, which is kilograms.
1 kg = 1000 grams
0.05 kg = 0.05 * 1000 g = 50 g
So, the unit of mass in the given units is 50 g.
Step 3: Calculate the numerical value of density
Density is defined as mass divided by volume.
In SI units:
Density = mass/volume
In the given units:
Density = mass/volume
The given unit of length is 25 cm, which is equivalent to 0.25 m.
The given unit of mass is 50 g, which is equivalent to 0.05 kg.
Density = mass/volume
= 0.05 kg / (0.25 m * 0.25 m * 0.25 m)
= 0.05 kg / (0.015625 m³)
= 3.2 kg/m³
Therefore, the numerical value of density in the given units is 3.2 kg/m³.
Since none of the given options match the calculated numerical value, the correct answer is none of the choices provided.
Note: The given options do not match the correct answer. The correct numerical value of density in the given units is 3.2 kg/m³, not 40 kg/m³.
Density in SI units = 128 kg/m³
Unit of length = 25 cm = 0.25 m
Unit of mass = 50 g = 0.05 kg
To find the numerical value of density in the given units, we need to convert the SI units to the given units.
Step 1: Convert the unit of length
The given unit of length is 0.25 m. We need to convert it to the SI unit of length, which is meters.
1 meter = 100 centimeters
0.25 meters = 0.25 * 100 cm = 25 cm
So, the unit of length in the given units is 25 cm.
Step 2: Convert the unit of mass
The given unit of mass is 0.05 kg. We need to convert it to the SI unit of mass, which is kilograms.
1 kg = 1000 grams
0.05 kg = 0.05 * 1000 g = 50 g
So, the unit of mass in the given units is 50 g.
Step 3: Calculate the numerical value of density
Density is defined as mass divided by volume.
In SI units:
Density = mass/volume
In the given units:
Density = mass/volume
The given unit of length is 25 cm, which is equivalent to 0.25 m.
The given unit of mass is 50 g, which is equivalent to 0.05 kg.
Density = mass/volume
= 0.05 kg / (0.25 m * 0.25 m * 0.25 m)
= 0.05 kg / (0.015625 m³)
= 3.2 kg/m³
Therefore, the numerical value of density in the given units is 3.2 kg/m³.
Since none of the given options match the calculated numerical value, the correct answer is none of the choices provided.
Note: The given options do not match the correct answer. The correct numerical value of density in the given units is 3.2 kg/m³, not 40 kg/m³.
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The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer?
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The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer?.
The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer?.
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The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :a)410b)640c)16d)40Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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