Express 16 mg mass into equivalent energy in eV |
$9 × 10^{30} eV$ $9 × 10^{29} eV$ $9 × 10^{16} eV$ $10^{28} eV$ |
$9 × 10^{30} eV$ |
The correct answer is Option (1) → $9 × 10^{30} eV$ $\text{Given: Mass } m = 16~\text{mg} = 16 \times 10^{-3}~\text{g} = 16 \times 10^{-6}~\text{kg}$ $\text{Energy equivalent: } E = m c^2$ $E = (16 \times 10^{-6}) \cdot (3 \times 10^8)^2$ $E = 16 \times 10^{-6} \cdot 9 \times 10^{16}$ $E = 1.44 \times 10^{12}~\text{J}$ $1~\text{eV} = 1.6 \times 10^{-19}~\text{J}$ $E = \frac{1.44 \times 10^{12}}{1.6 \times 10^{-19}}~\text{eV}$ $E = 9 \times 10^{30}~\text{eV}$ $\text{Answer: } E = 9 \times 10^{30}~\text{eV}$ |