Lesson_5.3_Homework_and_Solutions

Lesson_5.3_Homework_and_Solutions - Lesson 5.3 Homework...

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Lesson 5.3 Homework Solutions 1. What is the energy equivalence of 1 amu in MeV? 1 amu = 1.66 × 10 -27 kg E = mc 2 = 1.66 × 10 -27 × (3.0 × 10 8 ) 2 = 1.494 × 10 -10 J 1 J = 6.2415 × 10 18 eV = 6.2415 × 10 12 MeV E = 1.494 × 10 -10 J × 6.2415 × 10 12 MeV per J = 932.5 MeV A more accurate value is 1 u = 931.5 MeV. 2. The total binding energy of 2 1 H is 2.224 MeV Use this to compute the mass of an 2 1 H nucleus from the known masses of a proton and a neutron. Mass of a proton = 1.0073 u Mass of a neutron = 1.0087 u 2 1 H contains a proton and a neutron with a total mass of 2.016 u. Use 1 u = 931.49 MeV to convert the binding energy to atomic mass unit. Binding energy = 2.224 MeV = 2.224/931.49 = 0.0024 u The mass of the nucleus = total mass of constituent particles – the binding energy = 2.016 – 0.0024 = 2.0136 u 3. The mass of 3 2 He is 3.016029 u. (i) What is the total binding energy of this nucleus? (ii) What is the average binding energy per nucleon? The mass of 2 protons = 2
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Lesson_5.3_Homework_and_Solutions - Lesson 5.3 Homework...

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