Answer:
Vₑ = 9.314569 × 10^8 eV
Vₑ = 931.5 ×10^6 eV
Vₑ = 931.5 MeV
Verified
Explanation:
Applying the Einstein equation which shows that energy and mass are interchangeable (related). Which can be written mathematically as;
E = mc^2 ......1
Where E = energy
m = mass
c = speed of light
Energy can also be related to potential difference and charge as;
E = qv ........2
Where;
E = energy
q = charge
v = potential difference
Substituting equation 2 into 1
qv = mc^2
Making v the subject of formula
v = (mc^2)/q .........3
For a unified atomic mass unit is defined to be 1 u = 1.6605 ✕ 10−27 kg
m = 1.6605 × 10^−27 kg
c = 2.9979 × 10^8 m/s
Charge on electron qₑ = 1.6021766 × 10^-19 Coulomb
So, equation 3 becomes;
Vₑ = (mc^2)/qₑ
Substituting the given values;
Vₑ = (1.6605 × 10^−27 kg × (2.9979 × 10^8 m/s)^2)/1.602 1766× 10^-19
Vₑ = 9.314569 × 10^8 eV
Vₑ = 931.5 ×10^6 eV
Vₑ = 931.5 MeV
Verified
