Flashcards
Laboratory methods
Cards in this deck (18)
- 1Sample variance\[\sigma^2_s = \dfrac{1}{n-1} \sum^n_{i=1} (x_i - x)^2 \]
- 2Total error of uncorrelated errors\[\sigma_{tot} = \sqrt{\sigma^2_{stat} + \sigma^2_{sys}} \]
- 3Total error of a function of variables\[ \sigma^2_z = \sum^n_{i=1} (\dfrac{\partial z}{\partial x})^2 \sigma^2_{x_i} \]
- 4Weighted average of one quantity measured in different ways\[ X = \dfrac{\dfrac{x}{\sigma^2_x} + \dfrac{y}{\sigma^2_y}}{\dfrac{1}{\sigma^2_x} + \dfrac{1}{\sigma^2_y}} \]
- 5Weighted error of one quantity measured in different ways\[ \sigma^2_{tot} = \dfrac{1}{\dfrac{1}{\sigma^2_x} + \dfrac{1}{\sigma^2_y}} \]
- 6Poisson distribution (Counting statistics)Describes probability of "counting" a certain number of events
\[ P(n) = \dfrac{\lambda^n e^{-\lambda}}{n!} \] - 7Impedance ZComplex number that obeys Ohm's law. Describes 3 circuit elements under AC
- 8Impedance Z (for Capacitor)Capacitor: \[ Z = \dfrac{1}{i \omega C} \]
- 9Impedance Z (for Inductor)Inductor: \[ Z = i \omega L \]
- 10Impedance Z (for Resistor)Resistor: \[ R \]
- 11Impedance in series and parallelSeries: \[ Z_{tot} = Z_1 + Z_2 + ... Z_n \]
Parallel: \[ \dfrac{1}{Z_{tot}} = \dfrac{1}{Z_1} + \dfrac{1}{Z_2} + ... + \dfrac{1}{Z_n} \] - 12Compton wavelengthUnlike de Broglie wavelength, it only depends
on mass, not momentum:
\[ \lambda = \dfrac{h}{mc} \] - 13Wavelength shift of light due to Compton scattering\[ \Delta \lambda = \dfrac{h}{mc}(1 - \cos\theta) \]
- 14Decaying number density of a substance undergoing radioactive decay\[ N = N_0 e^{\frac{-t}{\tau}} \]
- 15Half-life relationship to lifetime\[ t_{1/2} = \tau \ln(2) \]
- 16Total lifetime if a substance can decay in several ways\[ \dfrac{1}{\tau} = \dfrac{1}{\tau_1} + \dfrac{1}{\tau_2} + ... \]
- 17De Morgan's laws in Boolean algebra\[ \overline{A \cdot B} = \overline{A} + \overline{B} \\
\overline{A + B} = \overline{A} \cdot \overline{B} \] - 18Photoabsorption (photoelectric absorption)Maximum energy that the emitted
electrons can have when light is shined
on material:
\[ E_max = E_gamma - \phi \]
(dominant for low-energy photons)
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- Physics GRE Laboratory methods Flashcards on Laboratory methods, created by Omar Aguilar on 31/08/2019.
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- Omar Aguilar
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