**AP Physics 1 Exam Question - Nuclear Physics**
**Question:**
A certain radioactive substance undergoes alpha decay. The substance initially has a total of 80 nucleons, with the atomic number 32. If the resulting nucleus has a mass number of 200, determine the atomic number and the new mass number of the resulting nucleus.
**Answer:**
To solve this problem, we need to understand the process of alpha decay. In alpha decay, an alpha particle is emitted from the nucleus, which consists of two protons and two neutrons. This results in a new nucleus with a reduced atomic number and mass number.
Given that the initial nucleus has 80 nucleons and an atomic number of 32, we can infer that it contains 48 neutrons (80 - 32 = 48).
In alpha decay, the nucleus loses 2 protons (since the alpha particle consists of 2 protons) and 2 neutrons.
Therefore, the atomic number of the resulting nucleus will be 32 - 2 = 30, and the mass number will be 80 - 4 = 76.
Hence, the new atomic number is 30, and the new mass number is 76.
Please note that the answer and explanation provided above are for illustrative purposes only. The actual AP Physics 1 exam question and answer may vary.