Physics Exercises/Fundamental Constants

Table of Constants

Fundamental constants from NIST Physics Lab
Name	Symbol	Value	Units	Relative Uncertainty
Speed of light (in vacuum)	$c$	$299\ 792\ 458$	$\mathrm{m}\ \mathrm{s}^{-1}$	(exact)
Magnetic Constant	$\mu_0$	$4\pi\times10^{-7}\approx$	$\mathrm{N}\ \mathrm{A}^{-2}$	(exact)
Electric Constant	$\epsilon_0$	$1/(\mu_0c^2)\approx$	$\mathrm{F}\ \mathrm{m}^{-1}$	(exact)
Newtonian Gravitaional Constant	$G$	$6.674\ 2(10)\times10^{-11}$	$\mathrm{m}^3\ \mathrm{kg}^{-1}\ \mathrm{s}^{-2}$	$1.5\times10^{-4}$
Plank's Constant	$h$	$6.626\ 069\ 3(11)\times10^{-34}$	$\mathrm{J}\ \mathrm{s}$	$1.7\times10^{-7}$
Elementary charge	$e$	$1.602\ 176\ 53(14)\times10^{-19}$	$\mathrm{C}$	$8.5\times10^{-8}$
Mass of the electron	$m_e$	$9.109\ 382\ 6(16)\times10^{-31}$	$\mathrm{kg}$	$1.7\times10^{-7}$
Mass of the proton	$m_p$	$1.672\ 621\ 71(29)\times10^{-27}$	$\mathrm{kg}$	$1.7\times10^{-7}$
Fine structure constant	$\alpha=e^2/(2\epsilon_0hc)$	$7.297\ 352\ 568(24)\times10^{-3}$	dimentionless	$3.3\times10^{-9}$
Molar gass constant	$R$	$8.314\ 472(15)$	$\mathrm{J}\ \mathrm{mol}^{-1}\ \mathrm{K}^{-1}$	$1.7\times10^{-6}$
Boltzman's constant	$k$	$1.380\ 650\ 5(24)$	$\mathrm{J}\ \mathrm{K}^{-1}$	$1.8\times10^{-6}$
Avogadro's Number	$N_A$	$6.022\ 141\ 5(10)\times10^{23}$	$\mathrm{mol}^{-1}$	$1.7\times10^{-7}$
Rydberg constant	$R_\infty$	$10\ 973\ 731.568\ 525(73)$	$\mathrm{m}^{-1}$	$6.6\times10^{-12}$