MindMap Gallery Units and measurements
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Units and measurements
This detailed mind map of units and measurement covers the definition of fundamental quantities, units of physical magnitudes, and methods of dimensional analysis. It delves into specific applications like the determination of current mass and the International System of Units (SI). The mind map visually presents the radio structure centered on core themes to aid in learning and memorizing basic concepts of metrology.
Edited at 2023-06-05 06:55:58
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units & measurements CLASS-11
fundamental quantities
Fundamental quantities are the building blocks of all measurements. In the field of physics, fundamental quantities describe the basic physical properties of the universe. These include length, mass, time, temperature, electric charge, and luminous intensity. Length is a fundamental quantity that describes the distance between two points. It is measured in meters and is used to calculate many other physical properties. Mass is another fundamental quantity that describes the amount of matter in an object. It is measured in kilograms and is a crucial component in determining an object's weight and gravitational pull. Time is a fundamental quantity that describes the duration of something. It is measured in seconds and is used in many calculations, including velocity, acceleration, and frequency. Temperature is another fundamental quantity that describes the degree of hotness or coldness. It is measured in Kelvin and is essential in thermodynamics, a branch of physics that studies the relationship between heat and other forms of energy. Electric charge is a fundamental quantity describing the amount of electric charge an object possesses. It is measured in coulombs and is vital in studying electric fields. Luminous intensity, on the other hand, measures the amount of light emitted by a source and is vital in the study of optics. In conclusion, these fundamental quantities are essential in studying physical phenomena. Each of them plays a crucial role in physics and helps scientists model the universe and the laws that govern it. Understanding these fundamental quantities is key to understanding the world around us.
Importance:
Fundamental quantities are the building blocks of scientific and engineering measurements and calculations.
Understanding fundamental quantities is essential for performing accurate and precise measurements and calculations in many fields.
Example: The proper use of fundamental quantities is necessary in fields such as physics, chemistry, e
Conversion Factors:
Conversion factors are ratios that relate the units of one fundamental quantity to the units of another fundamental quantity.
The units of fundamental quantities are standardized, allowing for easy conversion from one unit to another.
Example: The conversion factor for length is 1 meter = 3.28084 feet.
Constants:
Fundamental physical constants are values that do not change and are used in mathematical equations to derive other physical quantities.
Example: The speed of light is a fundamental physical constant that is used in many equations in physics.
These constants have units, but they are not considered fundamental quantities.
SI Units:
The International System of Units (SI) is an internationally recognized system of measurements based on the metric system.
The SI units for fundamental quantities are used in scientific and engineering applications worldwide.
Example: The SI unit for mass is the kilogram.
Derivative Quantities:
These derived quantities are not considered fundamental, but they are still important in science and engineering.
Other physical quantities can be derived from fundamental quantities through mathematical equations.
Example: Velocity is derived from the fundamental quantities of length and time.
Definition: These are physical quantities that cannot be defined in terms of other physical quantities.
Examples:
Mass
Kilogram
Electrical Current
Ampere
Time
Second
Temperature
Kelvin
Length
Meter
Measurement of Length, Mass & Time
Instruments used for Measurements
Vernier Calipers, Screw Gauge, Meter Scale, etc.
Measurement of Time using Pendulum & Atomic Clocks
Least Count & Error Calculations of Instruments
Measurement of Resistance & Capacitance
Types of Resistors and Capacitors
Fixed & Variable Resistor, Parallel & Series Capacitor
Measurement of Capacitance using Capacitance Meter
Comparison & Measurement of Resistance
Measurement of Temperature & Thermal Expansion
Scales of Temperature
Celsius, Fahrenheit, Kelvin Scale
Thermal Expansion of Solids, Liquids & Gases
Examples: Linear, Surface & Volumetric Expansion
Measurements & their Errors
Types of Errors
Systematic & Random Errors
Absolute & Relative Errors
Gross & Subtle Errors
Error Analysis & Significant Figures
Accuracy & Precision
Dimensional Formulas & Applications
Homogeneity Principle
Using Dimensional Analysis for Deriving Formulas
Examples: Velocity, Acceleration, Force, Work, Power, etc.
Measurement of Electric Current & Voltage
Ampere's Law & Ohm's Law
Measuring Devices
Galvanometer, Ammeter & Voltmeter
Physical Quantities & Units
Fundamental & Derived Quantities
SI Units & their Prefixes
Dimensional Analysis
Scalars & Vectors
Topic
units & measurements CLASS-11
fundamental quantities
Fundamental quantities are the building blocks of all measurements. In the field of physics, fundamental quantities describe the basic physical properties of the universe. These include length, mass, time, temperature, electric charge, and luminous intensity. Length is a fundamental quantity that describes the distance between two points. It is measured in meters and is used to calculate many other physical properties. Mass is another fundamental quantity that describes the amount of matter in an object. It is measured in kilograms and is a crucial component in determining an object's weight and gravitational pull. Time is a fundamental quantity that describes the duration of something. It is measured in seconds and is used in many calculations, including velocity, acceleration, and frequency. Temperature is another fundamental quantity that describes the degree of hotness or coldness. It is measured in Kelvin and is essential in thermodynamics, a branch of physics that studies the relationship between heat and other forms of energy. Electric charge is a fundamental quantity describing the amount of electric charge an object possesses. It is measured in coulombs and is vital in studying electric fields. Luminous intensity, on the other hand, measures the amount of light emitted by a source and is vital in the study of optics. In conclusion, these fundamental quantities are essential in studying physical phenomena. Each of them plays a crucial role in physics and helps scientists model the universe and the laws that govern it. Understanding these fundamental quantities is key to understanding the world around us.
Importance:
Fundamental quantities are the building blocks of scientific and engineering measurements and calculations.
Understanding fundamental quantities is essential for performing accurate and precise measurements and calculations in many fields.
Example: The proper use of fundamental quantities is necessary in fields such as physics, chemistry, e
Conversion Factors:
Conversion factors are ratios that relate the units of one fundamental quantity to the units of another fundamental quantity.
The units of fundamental quantities are standardized, allowing for easy conversion from one unit to another.
Example: The conversion factor for length is 1 meter = 3.28084 feet.
Constants:
Fundamental physical constants are values that do not change and are used in mathematical equations to derive other physical quantities.
Example: The speed of light is a fundamental physical constant that is used in many equations in physics.
These constants have units, but they are not considered fundamental quantities.
SI Units:
The International System of Units (SI) is an internationally recognized system of measurements based on the metric system.
The SI units for fundamental quantities are used in scientific and engineering applications worldwide.
Example: The SI unit for mass is the kilogram.
Derivative Quantities:
These derived quantities are not considered fundamental, but they are still important in science and engineering.
Other physical quantities can be derived from fundamental quantities through mathematical equations.
Example: Velocity is derived from the fundamental quantities of length and time.
Definition: These are physical quantities that cannot be defined in terms of other physical quantities.
Examples:
Mass
Kilogram
Electrical Current
Ampere
Time
Second
Temperature
Kelvin
Length
Meter
Measurement of Length, Mass & Time
Instruments used for Measurements
Vernier Calipers, Screw Gauge, Meter Scale, etc.
Measurement of Time using Pendulum & Atomic Clocks
Least Count & Error Calculations of Instruments
Measurement of Resistance & Capacitance
Types of Resistors and Capacitors
Fixed & Variable Resistor, Parallel & Series Capacitor
Measurement of Capacitance using Capacitance Meter
Comparison & Measurement of Resistance
Measurement of Temperature & Thermal Expansion
Scales of Temperature
Celsius, Fahrenheit, Kelvin Scale
Thermal Expansion of Solids, Liquids & Gases
Examples: Linear, Surface & Volumetric Expansion
Measurements & their Errors
Types of Errors
Systematic & Random Errors
Absolute & Relative Errors
Gross & Subtle Errors
Error Analysis & Significant Figures
Accuracy & Precision
Dimensional Formulas & Applications
Homogeneity Principle
Using Dimensional Analysis for Deriving Formulas
Examples: Velocity, Acceleration, Force, Work, Power, etc.
Measurement of Electric Current & Voltage
Ampere's Law & Ohm's Law
Measuring Devices
Galvanometer, Ammeter & Voltmeter
Physical Quantities & Units
Fundamental & Derived Quantities
SI Units & their Prefixes
Dimensional Analysis
Scalars & Vectors
Topic