Question

For an atomic nucleus with atomic number \( Z \) and mass number \( A \), which of the following is (are) correct?

• A. Nuclear matter and nuclear charge are distributed identically in the nuclear volume.
• B. Nuclei with \( Z>83 \) and \( A>209 \) emit \( \alpha \)-radiation.
• C. The surface contribution to the binding energy is proportional to \( A^{2/3} \).
• D. \( \beta \)-decay occurs when the proton to neutron ratio is large, but not when it is small.

Hint:

In nuclear physics, heavy nuclei (with \( Z>83 \)) often undergo \( \alpha \)-decay to achieve a more stable configuration.

Answer 1

The Correct Option is B

Step 1: Understanding the properties of atomic nuclei.
Nuclei with large atomic numbers \( Z \) and mass numbers \( A \) typically undergo \( \alpha \)-decay due to instability caused by a high neutron-to-proton ratio. This is a common property of heavy nuclei. Option (B) is correct based on this understanding. The other options relate to the general distribution of nuclear properties, but they are less specific in the context of the given information.
Step 2: Conclusion.
Thus, the correct answer is option (B).