Nuclear Physics Concepts – Rankers Physics

Nucleus: Practice Problem & Solution

Consider the following statements: (a) Nuclear density is directly proportional to cube root of mass number. (b) Binding energy per nucleon is maximum for elements having mass number \(A > 170\). (c) When two deuterium nuclei fuse together to form a tritium nucleus we get a proton. (d) Neutrons and protons are bound in a nucleus by the short range weak nuclear force. The correct statement(s) is/are
Both (a) and (b)
Only (b)
Only (c)
Both (c) and (d)

Solution Explained:

To solve this problem, we apply the core principles of Nucleus. Understanding the underlying formula is key to arriving at the correct answer below:

Only statement (c) is correct: \(2\text{H} + 2\text{H} \rightarrow 3\text{H} + 1\text{p}\). Nuclear density is independent of mass number, and binding energy per nucleon peaks around Iron \((A=56)\).

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