QQuestionPhysics
QuestionPhysics
Classify the following units into fundamental, supplementary, and derived units:
Newton
Metre
Candela
Radian
Hertz
Square metre
Tesla
Ampere
Kelvin
Volt
Mole
Coulomb
Farad
Steradian
Fundamental Units:
Metre
Candela
Ampere
Kelvin
Mole
Supplementary Units:
Radian
Steradian
Derived Units:
Newton
Hertz
Square metre
Tesla
Volt
Coulomb
Farad
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Answer
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Step 1:: Identify the units that are classified as fundamental units.
Fundamental units are the basic units of measurement in a system, and they are considered independent of other units. In the International System of Units (SI), there are seven fundamental units: meter (m), kilogram (kg), second (s), ampere (A), kelvin (K), candela (cd), and mole (mol). However, in this problem, we are given 11 units, and only 6 of them are classified as fundamental units.
Step 2:: Identify the supplementary units.
Supplementary units are used to express quantities that are derived from the fundamental units. In the SI system, there are two supplementary units: radian (rad) and steradian (sr). These units are used to express plane angles and solid angles, respectively.
Step 3:: Identify the derived units.
It can be expressed as $$F = C/V$$.
Derived units are units that are formed by combining fundamental units using mathematical operations such as multiplication, division, and powers. In this problem, we are given 7 units that are classified as derived units. These units are: Newton (N) is a unit of force, defined as the amount of force required to accelerate a mass of 1 kilogram at a rate of 1 meter per second squared. Hertz (Hz) is a unit of frequency, defined as the number of cycles per second. Square meter (m^2) is a unit of area, defined as the area of a square with sides of 1 meter. Tesla (T) is a unit of magnetic flux density, defined as the amount of magnetic flux per unit area. Volt (V) is a unit of electric potential difference, defined as the amount of electric potential energy per unit charge. Coulomb (C) is a unit of electric charge, defined as the amount of electric charge transported by a current of 1 ampere in 1 second. Farad (F) is a unit of electric capacitance, defined as the amount of electric charge required to produce a potential difference of 1 volt across a conductor with a capacitance of 1 farad.
Step 4:: Summarize the classification of the units.
Fundamental Units: - Metre - Candela - Ampere - Kelvin - Mole Supplementary Units: - Radian - Steradian Derived Units: - Newton - Hertz - Square metre - Tesla - Volt - Coulomb - Farad
Final Answer
The given units are classified as follows: - Fundamental Units: Metre, Candela, Ampere, Kelvin, Mole - Supplementary Units: Radian, Steradian - Derived Units: Newton, Hertz, Square metre, Tesla, Volt, Coulomb, Farad
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