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CGP EDU Academic Team
Published on: September 12, 2026
The mass and energy equivalent to 1 a.m.u. respectively
Text Solution
Verified by ExpertsThe correct answer is:
A
To determine the mass and energy equivalent to 1 atomic mass unit (a.m.u.), we use the established values:
Step 1: The mass equivalent of 1 a.m.u. is approximately \( 1.67 \times 10^{-27} \) kg.
Step 2: The energy equivalent can be calculated using Einstein's relation, \( E = mc^2 \), where \( c \) (the speed of light) is approximately \( 3 \times 10^8 \) m/s. Thus we convert the mass into energy:
\( E = (1.67 \times 10^{-27} \text{ kg}) \cdot (3 \times 10^8 \text{ m/s})^2 \approx 1.5 \times 10^{-10} \text{ Joules} \approx 9.30 \text{ MeV} \).
Conclusion: Therefore, the mass and energy equivalent to 1 a.m.u. respectively is \( 1.67 \times 10^{-27} \text{ kg}, 9.30 ext{ MeV} \). Thus, option A is the correct answer.
Step 1: The mass equivalent of 1 a.m.u. is approximately \( 1.67 \times 10^{-27} \) kg.
Step 2: The energy equivalent can be calculated using Einstein's relation, \( E = mc^2 \), where \( c \) (the speed of light) is approximately \( 3 \times 10^8 \) m/s. Thus we convert the mass into energy:
\( E = (1.67 \times 10^{-27} \text{ kg}) \cdot (3 \times 10^8 \text{ m/s})^2 \approx 1.5 \times 10^{-10} \text{ Joules} \approx 9.30 \text{ MeV} \).
Conclusion: Therefore, the mass and energy equivalent to 1 a.m.u. respectively is \( 1.67 \times 10^{-27} \text{ kg}, 9.30 ext{ MeV} \). Thus, option A is the correct answer.
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