In the hydrogen atom, if the reference level of potential energy is assumed to be zero at the ground state level. Choose the incorrect statement.

Options

A. A.The total energy of the shell increase with increase in the value of n
B. B.The total energy of the shell decrease with increase in the value of n
C. C.The difference in total energy of any two shells remains the same
D. D.The total energy at the ground state become `13.6eV`

Explanation

To solve the problem, we need to analyze the statements regarding the hydrogen atom's energy levels and determine which one is incorrect.

### Step-by-Step Solution:

1. **Understanding the Energy Levels in Hydrogen Atom**:
- The energy levels of a hydrogen atom are quantized and can be described by the formula:
\[ E_n = -\frac{13.6 \, \text{eV}}{n^2} \]
where \( n \) is the principal quantum number (n = 1, 2, 3, ...).

2. **Potential Energy Reference Level**:
- In this problem, the reference level of potential energy is assumed to be zero at the ground state (n=1).
- The total energy (E) is the sum of kinetic energy (K) and potential energy (U):
\[ E = K + U \]
- For the hydrogen atom, the potential energy is negative and is given by:
\[ U = -\frac{K}{2} \]
- Therefore, the total energy can also be expressed in terms of kinetic energy:
\[ E = -\frac{K}{2} \]

3. **Analyzing the Statements**:
- **Statement A**: Total energy of the cell increases with an increase in the value of n.
- This statement is **true** because as \( n \) increases, the total energy (which is negative) becomes less negative (increases).

- **Statement B**: Total energy of the cell decreases with an increase in the value of n.
- This statement is **incorrect** because, as mentioned, the total energy increases (becomes less negative) with increasing \( n \).

- **Statement C**: The difference in the total energy of any two cells remains the same.
- This statement is **true** because the energy difference between levels is independent of the reference level.

- **Statement D**: Total energy at the ground state becomes a specific value.
- This statement is **true** as the total energy at the ground state (n=1) is -13.6 eV.

4. **Conclusion**:
- The incorrect statement is **Statement B**: "Total energy of the cell decreases with an increase in the value of n."

### Final Answer:
The incorrect statement is **B**: Total energy of the cell decreases with an increase in the value of n.