One requires energy `E_n` to remove a nucleon from a nucleus and an energy `E_e` to remove an electrons from the orbit of an atom. Then

Options

A. `E_n gt E_e`
B. `E_n lt E_e`
C. `E_n=E_e`
D. `E_n le E_e`

Answer

To solve the problem, we need to compare the energies required to remove a nucleon from a nucleus (denoted as \( E_n \)) and to remove an electron from an atom (denoted as \( E_e \)).

### Step-by-Step Solution:

1. **Understanding the Forces Involved**:
- The nucleons (protons and neutrons) in a nucleus are held together by the strong nuclear force, which is a very strong force acting at very short distances (on the order of \( 10^{-15} \) meters).
- Electrons are held in their orbits around the nucleus by the electrostatic force of attraction between the positively charged protons and the negatively charged electrons. This force acts over a larger distance (on the order of \( 10^{-10} \) meters).

2. **Energy Required to Remove a Nucleon**:
- The energy required to remove a nucleon from the nucleus is typically in the range of mega electron volts (MeV). This is because the strong nuclear force is very powerful, and overcoming it requires a significant amount of energy.

3. **Energy Required to Remove an Electron**:
- The energy required to remove an electron from an atom is generally in the range of electron volts (eV). This is much lower than the energy required to remove a nucleon because the electrostatic force is weaker than the strong nuclear force.

4. **Comparing the Energies**:
- Since \( E_n \) (energy to remove a nucleon) is in MeV and \( E_e \) (energy to remove an electron) is in eV, we can conclude that:
\[ E_n \gg E_e \]
- Therefore, we can state that:
\[ E_n > E_e \]

5. **Conclusion**:
- The correct relationship between the energies is \( E_n > E_e \).

### Final Answer:
The correct relation is \( E_n > E_e \).