erg a MeV convertidor - Ergio a Megaelectronvoltio

Conversion derivation

Express both erg and MeV in the same base unit J (joule), then cancel the shared base unit.

1. 1

   Rewrite erg in the base unit

   $$1\mathrm{erg}=1\times 10^{-7}\mathrm{J}$$
2. 2

   Rewrite MeV in the base unit

   $$1\mathrm{MeV}=1.60217663\times 10^{-13}\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{erg}& =\frac{1\times 10^{-7}\cancel{\mathrm{J}}}{1.60217663\times 10^{-13}\cancel{\mathrm{J}}}\times 1\mathrm{MeV}\\ & =\frac{1\times 10^{-7}}{1.60217663\times 10^{-13}}\mathrm{MeV}\\ & =624,150.907446\mathrm{MeV}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{MeV}& =\frac{1.60217663\times 10^{-13}\cancel{\mathrm{J}}}{1\times 10^{-7}\cancel{\mathrm{J}}}\times 1\mathrm{erg}\\ & =\frac{1.60217663\times 10^{-13}}{1\times 10^{-7}}\mathrm{erg}\\ & =0.000001602177\mathrm{erg}\end{array}$$