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01 Measurements and Uncertainties (SI units (Mole, Candela, Ampere, Metre,…
01 Measurements and Uncertainties
Uncertainties
Absolute Uncertainty
\(\pm\Delta p\)
Used in ":heavy_plus_sign:/:heavy_minus_sign:"
Used in Heisenburg Principle
For V=ch
\(\Delta V=c\Delta h\)
Fractional Uncertainty
\(\pm\frac{\Delta p}{p}\)
For V=ch
\(\frac{\pm\Delta V}{V}=\frac{\pm\Delta h}{h}\)
Used in ":heavy_multiplication_x:/ :heavy_division_sign:"
\(\frac{\Delta ab}{ab}=\frac{\Delta a}{a}+\frac{\Delta b}{b}\)
Used in "powers"
For uncertainty of \(a^n\)
\(\frac{\Delta a^n}{a^n}=\frac{\Delta a}{a}+\frac{\Delta a}{a}+\cdots\)
\(n\left(\frac{\Delta a}{a}\right)\)
SI units
Mole
Candela
Ampere
Metre
Second
Kelvin
Kilogram