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A certain particle is at rest with respect to you. Assuming that you measure its mass to be 1 g, what is its energy? 1 eV = 1.6 x 10^-19 J. Answer in units of MeV.

Answer :

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.

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