Electron Volt is the unit of ? | Electron Volt (eV)

Electron Volt is the unit of ?

Electron Volt (eV)

Electron Volt is the unit of Energy

One electron volt is the energy gained by an electron, when it is accelerated through a potential difference of 1 volt.

 

Relation between electron volt(eV) and joule(J)

We know that….

Electric Potential = Work Done / charge

⇒ Work Done = Electric Potential × charge

1 eV = 1 V × 1.602 × 10^-19 C

⇒ 1 eV = 1.602 × 10^-19 J

Also note that….

1 Mega eV = 10⁶ eV = 10⁶ × 1.602 × 10^-19 J

⇒ 1 MeV = 1.602 × 10^-13 J

Relation between a.m.u. and MeV

From Einstein’s mass-energy equivalence, E = mc²

Taking “m” as 1 a.m.u.(=1.66×10^-27Kg) and c = 3×10⁸m/s

We have, E = (1.66×10^-27) × (3×10⁸)² J

⇒ E = 1.49×10^-10 J

Now as 1 MeV = 1.602 × 10^-13 J 

So….

E = (1.49×10^-10)÷(1.602×10^-13) MeV = 931.25 MeV

⇒ 1 a.m.u. ≈ 931 MeV

 

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