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Units And Measurement, Prefixes Kilo = \(10^{3}\) Hecto = \(10^{2}\) …

- - - - Due to presicion of intrument
    - - Due to noise
      - Calculation
        
        Absolute Error \( \Delta a_n = a_n - a_{mean} \)
        
        Relative Error \(Rel \Delta a = \Delta a_n / a_n\)
        
        Precentage Error \( \delta_a = (\Delta a_n / a_n) * 100\)
    - - Due to Error in Resolution of instrument
- - - - 7 Base Units - kg, m, s, mol, A, K, cd
      - 2 Supplementary Units - rad, sr
    - - 5 Base Quantities - M, L, T, K, A
      - Dimensional Analysis
        
        Shows relation between different system of units
        
        Implicit derivation of relations
        
        Provides a check on relation between quantities
    - - Small
        
        \(1 A^o = 10^{-10} m\)
        \(1 fermi = 10^{-15} m\)
        
        mass - amu
      - Large
        
        \(1 AU = 1.49 * 10^{11} m\)
        \(1 ly = 9.46 * 10^{-15} m\)
        \(1 parsec = 3.08 * 10^{16} m\)
        
        \(1 metric\ ton = 10^{3} kg\)
        \(1 solar\ mass = 10^{30} kg\)