Staements I: The nucleus `._Z^AX` is having atomic mass as well as its mass number as `A`.
Staements II: Mass number of an element is an integer that specifies an isotopes and has no units, while atomic mass is generally not an integer.

Explanation

To analyze the statements given in the question, we will break down each statement step by step.

### Step 1: Understanding Statement I
- **Statement I**: "The nucleus `._Z^AX` is having atomic mass as well as its mass number as `A`."
- **Analysis**: The mass number `A` represents the total number of protons and neutrons in the nucleus. However, the atomic mass (or atomic weight) is a weighted average of the masses of all isotopes of an element, taking into account their relative abundances. For most elements (except hydrogen), the atomic mass is not equal to the mass number because it includes the binding energy and the mass defect due to the conversion of mass into energy. Therefore, this statement is **false**.

### Step 2: Understanding Statement II
- **Statement II**: "Mass number of an element is an integer that specifies an isotope and has no units, while atomic mass is generally not an integer."
- **Analysis**: The mass number is indeed an integer and indicates the total number of protons and neutrons in an atom. It is used to identify isotopes of an element, which are atoms of the same element with different numbers of neutrons. The atomic mass, on the other hand, is a decimal value that reflects the average mass of an atom of an element, accounting for the presence of isotopes and their relative abundances. Therefore, this statement is **true**.

### Conclusion
- **Final Assessment**:
- Statement I is **false**.
- Statement II is **true**.

Thus, the answer is that Statement I is false and Statement II is true.

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