Answer:
5.625×10²⁶ MeV
Explanation:
m = Mass of particle = 1 g = 0.001 kg
c = Speed of light = 3×10⁸ m/s
Einstein's equation
E = mc²
⇒E = 0.001×(3×10⁸)²
⇒E = 9×10¹³ J
1 eV = 1.6×10⁻¹⁹ J
[tex]\\\Rightarrow 1\ J=\frac{1}{1.6\times 10^{-19}}[/tex]
So,
[tex]9\times 10^{13}\ J=\frac{9\times 10^{13}}{1.6\times 10^{-19}}=5.625\times 10^{32}\ eV[/tex]
Converting to MeV
1 MeV = 10⁶ eV
So,
[tex]5.625\times 10^{32}\ eV =5.625\times 10^{26}[/tex]
The energy of the particle is 5.625×10²⁶ MeV.
