Consider the following statements (A) and (B) and identify the correct answer given below.
Statement (A): Positive values of packing fraction implies a large value of binding energy.
Statement (B): The difference between the mass of the nucleus and the mass number of the nucleus is called packing fraction

Options

A. A and B are correct
B. (A) and (B) are false
C. (A) is true (B) is false
D. A is false, B is true

Answer

To solve the question, we need to analyze both statements (A) and (B) regarding the packing fraction and binding energy of a nucleus.

### Step-by-Step Solution:

1. **Understanding Packing Fraction**:
- The packing fraction (PF) is defined as the difference between the mass of the nucleus (M) and the mass number (A) of the nucleus, divided by the mass number (A).
- Mathematically, it can be represented as:
\[ \text{Packing Fraction (PF)} = \frac{M - A}{A} \]
- A positive packing fraction indicates that the mass of the nucleus is greater than the mass number, which is not typical. Generally, the packing fraction is negative for stable nuclei.

2. **Analyzing Statement (A)**:
- Statement (A) claims that positive values of packing fraction imply a large value of binding energy.
- Binding energy is the energy required to disassemble a nucleus into its constituent protons and neutrons. A larger binding energy typically corresponds to a more stable nucleus.
- However, a positive packing fraction does not imply a large binding energy; instead, it suggests instability. Therefore, this statement is **incorrect**.

3. **Analyzing Statement (B)**:
- Statement (B) states that the difference between the mass of the nucleus and the mass number of the nucleus is called packing fraction.
- This statement is misleading because the packing fraction is defined as the difference divided by the mass number, not just the difference itself.
- Therefore, this statement is also **incorrect**.

4. **Conclusion**:
- Both statements (A) and (B) are incorrect based on the definitions and implications of packing fraction and binding energy.

### Final Answer:
Both statements (A) and (B) are incorrect.