Unit 48: Binding Energy
Practice Problems
Note: problem difficulty is ranked using a star system.
(*) One-star problems are fundamental to the unit, and can be done relatively quickly. Use these problems to introduce yourself to the material.
(**) Two-star problems are more difficult, and require an understanding of one or two key concepts. Use these problems to test your understanding of the material.
(***) Three-star problems are the most difficult, and require some creative thinking in addition to a deep familiarity with multiple key concepts. Use these problems to challenge yourself; if you can complete one of these, you’re on your way to mastering the material.
***Q48.3) Explain how the graph below demonstrates that Iron (⁵⁶Fe) is the most stable nucleus in existence. If a pair of deuterium atoms (²H) are fused into a single helium atom (⁴He), should the process release or absorb energy? If a ²³⁶U atom is broken apart (ie fissioned) into an atom of ¹⁴⁵Ba and an atom of ⁸⁸Kr, should the process release or absorb energy?
**Q48.1) Calculate the binding energy of a Lithium nucleus (⁷Li) in MeV. You’ll need to make use of the following information:
A hydrogen atom has an atomic mass of 1.00783 amu
A neutron has an atomic mass of 1.00866 amu
A lithium atom has an atomic mass of 7.01601 amu
**Q48.2) Consider the alpha decay of Radon into polonium:
²²²Rn → ²¹⁸Po + ⁴He
How much energy (in MeV) is released in the process? You’ll need to make use of the following information:
²²²Rn has an atomic mass of 222.01758 amu
²¹⁸Po has an atomic mass of 218.00897 amu
⁴He has an atomic mass of 4.00260 amu