Question

Energy equal to mass of one electron in erg.

Answer 1

Mass of one electron = 9.1091 x 10^-31 kg

According to the Einstein's theory of relativity,
Mass and energy are interchangeable...

So,
9.1091 x 10^-31 kg = 0.511 MeV

1 MeV= 1.602 × 10-6 erg
So, 0.511 MeV = 8.187 × 10-7 erg

THUS,
Mass of one electron = 8.187 × 10-7 erg

Answer 2

Answer: The energy of mass of one electron is equal to $8.186\times 10^{-7}ergs$

Explanation:

We know that:

Mass of one electron = $9.1091\times 10^{-31}kg$

To convert this mass unit to energy unit, we use the conversion:

$1kg=5.60\times 10^{35}eV$

So,

$9.1091\times 10^{-31}kg$ will be equal to

$9.1091\times 10^{-31}kg\times (\frac{5.60\times 10^{35}eV}{1kg})=51.1\times 10^4eV=0.511MeV$

Now, converting mega electron volt units to ergs, by using the conversion factor:

$1MeV=1.6021\times 10^{-6}erg$

Converting 0.511 MeV to ergs, we get:

$\Rightarrow 0.511MeV\times (\frac{1.6021\times 10^{-6}erg}{1MeV})=8.816\times 10^{-7}ergs$

Hence, the energy of mass of one electron is equal to $8.186\times 10^{-7}ergs$