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Most Used Si Units https://www.google.com/amp/www.vidyagyaan.com/general-knowledge/science/si-units-of-physical-quantity/%3famp=1

Derived Si Units ( Most Important Must Be Learned )

Derived Si Units ( Most Important Must Be Learned )

Si Unit List ( Most Important Must Be Learned )

Si Unit List Quantity. Si Unit. Symbol Length ( L ) Meter m Mass ( M ) Kilogram kg Time ( T ) Second s Electric Ampere A Current ( A ) Temperature ( Θ ) Kelvin K Amount Mole mol Of Substance ( N ) Luminous Candela Cd Intensity ( J )

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Limitations Of Dimensional Analysis! This Method Is Not Applicable To Determine The Value Of Constant Of Proportionality Which Maybe Pure Number Or Dimensional Ratio This method cannot be used to Derive a composite equation This method cannot be used in equation containing Trigonometrical or exponential and log function This Method Cannot Be Used To Derive Relation More Than Three Properties

Example Of Conversion Of One System Of Unit into Another

Example 3-4 Of First

Application Of Dimensional Homogeneity! 1. To Check The Correctness Of A Physical Equation 2. Derivation Of The Relation Between Various Physical Quantities 3. Conversion Of One System Of Unit into Another

Principle Of Dimensional Homogeneity ! The Dimensions Of The Fundamental Quantities Are Same In Each And Every Term On Either Side Of A Physical Quantity. Example : A = B + P Then A = LT² Then B and P Also Will Be LT² [LT²] =[ LT²] + [LT²] [LT²] = 2[LT²] [LT²] = [LT²] We Don't Take Numerical Value In Dimensions Ex.... 2[LT²] = [LT²]

Example Of Dimension ! For This We Have To Know About The Dimensions Of Fundamental Quantities. Length [ L ] Mass [ M ] Time [ T ] Temperature [ K ] Electricity Current [ A ] Amount Of Substance [ Cd ] Luminous Intensity [ mol ] And Now The Dimensions Of Derived Quantities. 1. Area = Length x Breadth = L x L = L² = [ L² ] 2. Volume = Length x Breadth x Height = L x L x L = L³ = [ L³ ] 3. Acceleration = Velocity ——— Time = Length = Length = L ——— ———— — Time Time² T² ——— Time L — = L T-² = [ L T-² ] T² ( Note: This Is Highly Important So Must Practice And Learn about Most Of The Derived Quantities. )

What Is Dimension? The Dimension Of A Physical Quantity Is The Power To Which The Units Of Fundamental Quantities Are To Be Raised To Represent A Derived Quantity. ( Hindi Translation : Ek Derived Quantity Ko Jis Power Main Fundamental Quantity Main Raise Kiya Jata Hain Ushse Dimension Kehte Hain )