The energy equivalent of mass associated with the rest mass of an electron is nearly:

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  1. 51.111 MeV
  2. 0.511 MeV
  3. 1.511 MeV
  4. 5.111 MeV

Answer (Detailed Solution Below)

Option 2 : 0.511 MeV
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Detailed Solution

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Concept:

  • Albert Einstein proposed the famous equation that relates mass and energy.
  • According to this equation, mass can be converted into energy and vice versa.
  • Equation: E = mc2 where E = kinetic energy of the body, m = relativistic mass, c = speed of light
  • This equation is the basis of the theory of special relativity which say as an object approaches the speed of light, its mass becomes infinite and it is unstable to go faster than any light travel.

Calculation:

Given,

The rest mass of the electron, m = 9.1 × 10-31 kg

The speed of light, c = 3 × 108 m/s

The mass-energy equivalence formula is given by,

E = mc2

E = 9.1 × 10-31 kg × (3 × 108 m/s)2

E = 81.9 × 10-15 J  [ 1J =1kgm2/s2]

Energy in electron volt (eV), 

\(E=\frac{81.9\times 10^{-15}}{1.6\times 10^{-19}}\)

E = 0.511875 MeV

Hence, the mass-energy equivalence is 0.511875 MeV.

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