Assertion Energy `E_(1)` is required to remove first electron from helium atom and energy `E_(2)` is to required to remove the second electron . Them `E_(1)ltE_(2).`
Reason Ionisation energy of single electron of `He^(+)` is 54.4 eV.

Options

A. If both Assertion and Reason ar true and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not correct explanation of Assertion
C. If Assertion is true by Reason is false.
D. If Assertion is false but Reason is true.

Explanation

To solve the problem, we need to analyze the assertion and the reason provided regarding the ionization energies of the helium atom and its ion He⁺.

### Step-by-Step Solution:

1. **Understanding Ionization Energy**:
- Ionization energy is the energy required to remove an electron from an atom or ion. For helium (He), which has two electrons, we denote the energy required to remove the first electron as \( E_1 \) and the energy required to remove the second electron as \( E_2 \).

2. **Calculating \( E_1 \)**:
- The first ionization energy \( E_1 \) can be calculated using the formula for the energy levels of hydrogen-like atoms:
\[ E_n = -\frac{13.6 Z^2}{n^2} \]
- For helium (Z = 2) and the ground state (n = 1):
\[ E_1 = -\frac{13.6 \times 2^2}{1^2} = -\frac{13.6 \times 4}{1} = -54.4 \text{ eV} \]
- The energy required to remove the first electron (ionization energy) is therefore \( E_1 = 54.4 \text{ eV} \).

3. **Calculating \( E_2 \)**:
- To remove the second electron, we consider the remaining ion (He⁺), which now has only one electron. For He⁺ (Z = 2) and the first excited state (n = 2):
\[ E_2 = -\frac{13.6 \times 2^2}{2^2} = -\frac{13.6 \times 4}{4} = -13.6 \text{ eV} \]
- The energy required to remove the second electron is therefore \( E_2 = 13.6 \text{ eV} \).

4. **Comparing \( E_1 \) and \( E_2 \)**:
- We find that \( E_1 = 54.4 \text{ eV} \) and \( E_2 = 13.6 \text{ eV} \).
- Clearly, \( E_1 > E_2 \), which contradicts the assertion that \( E_1 < E_2 \).

5. **Analyzing the Reason**:
- The reason states that the ionization energy of a single electron of He⁺ is 54.4 eV. This is indeed true as calculated above.

6. **Conclusion**:
- The assertion is false because \( E_1 \) is not less than \( E_2 \).
- The reason is true, but it does not explain the assertion correctly.
- Therefore, the correct answer is that the assertion is false, and the reason is true.

### Final Answer:
- Assertion is false, Reason is true.