COMEDK2014PhysicsNuclear Physics
Find the energy equivalent of one atomic mass unit in joules and in MeV.
Options
- A1.66 10⁻¹⁰ ~J , 93.15 MeV
- B3 10⁻¹⁰ ~J , 9.315 MeV
- C15 10⁻¹⁰ ~J , 931.5 MeV
- D2.5 10⁻¹⁰ ~J , 931.5 MeV
Correct answer
C. 15 10⁻¹⁰ ~J , 931.5 MeV
Step-by-step solution
Given, mass is equivalent to 1 amu , i.e. m=1 amu =1.6605 10⁻²⁷ ~kg According to Einstein's mass-energy equivalent equation, aligned E &=m c² &=1.6605 10⁻²⁷ (3 10⁸ )² &=1.49 10⁻¹⁰ ~J &= 1.49 10⁻¹⁰ 1.6 10⁻¹⁹ eV &=931.5 10⁶ eV &=931.5 MeV aligned