NIRAMAY SHARMA
UNIT AND DIMENSION
UNIT AND DIME NSION ......................................................................................................................1
1. Physical Quantities ......................................................................................................................1
Types:.........................................................................................................................................1
2. Fundamental Quantities (SI System).............................................................................................1
3. Dimensions .................................................................................................................................1
Examples: ...................................................................................................................................1
4. Uses of Dimensional Analysis ......................................................................................................1
1. Checking Dimensional Consistency...........................................................................................2
2. Deriving Relationships..............................................................................................................2
3. Converting Units ......................................................................................................................2
5. Limitations of Dimensional Analysis ..............................................................................................2
6. Important Formulas......................................................................................................................2
Unit Conversion: ..........................................................................................................................2
7. Common Dimensional Formulas ...................................................................................................2
8. Key Points to Remember .............................................................................................................3
9. Solved Example ..........................................................................................................................3
1. Physical Quantities
Physical Quantity: A quantity that can be measured and has a numerical value with a unit.
Types:
• Fundamental/Base Quantities: Independent quantities (7 in SI)
• Derived Quantities: Combinations of f undamental quantities
2. Fundamental Quantities (SI System)
Quantity Symbol SI Unit Unit Symbol
Length L metre m
Mass M kilogram kg
Time T second s
Electric Current I ampere A
Temperature θ kelvin K
Amount of Substance n mole mol
Luminous Intensity J candela cd
NIRAMAY SHARMA
UNIT AND DIMENSION
UNIT AND DIME NSION ......................................................................................................................1
1. Physical Quantities ......................................................................................................................1
Types:.........................................................................................................................................1
2. Fundamental Quantities (SI System).............................................................................................1
3. Dimensions .................................................................................................................................1
Examples: ...................................................................................................................................1
4. Uses of Dimensional Analysis ......................................................................................................1
1. Checking Dimensional Consistency...........................................................................................2
2. Deriving Relationships..............................................................................................................2
3. Converting Units ......................................................................................................................2
5. Limitations of Dimensional Analysis ..............................................................................................2
6. Important Formulas......................................................................................................................2
Unit Conversion: ..........................................................................................................................2
7. Common Dimensional Formulas ...................................................................................................2
8. Key Points to Remember .............................................................................................................3
9. Solved Example ..........................................................................................................................3
1. Physical Quantities
Physical Quantity: A quantity that can be measured and has a numerical value with a unit.
Types:
• Fundamental/Base Quantities: Independent quantities (7 in SI)
• Derived Quantities: Combinations of f undamental quantities
2. Fundamental Quantities (SI System)
Quantity Symbol SI Unit Unit Symbol
Length L metre m
Mass M kilogram kg
Time T second s
Electric Current I ampere A
Temperature θ kelvin K
Amount of Substance n mole mol
Luminous Intensity J candela cd
NIRAMAY SHARMA
