Express 16 mg mass into equivalent energy in eV
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $9 × 10^{30} eV$
$\text{Given: Mass } m = 16~\text{mg} = 16 \times 10^{-3}~\text{g} = 16 \times 10^{-6}~\text{kg}$
$\text{Energy equivalent: } E = m c^2$
$E = (16 \times 10^{-6}) \cdot (3 \times 10^8)^2$
$E = 16 \times 10^{-6} \cdot 9 \times 10^{16}$
$E = 1.44 \times 10^{12}~\text{J}$
$1~\text{eV} = 1.6 \times 10^{-19}~\text{J}$
$E = \frac{1.44 \times 10^{12}}{1.6 \times 10^{-19}}~\text{eV}$
$E = 9 \times 10^{30}~\text{eV}$
$\text{Answer: } E = 9 \times 10^{30}~\text{eV}$