Choose the correct statements from the following:

Options

A. Like other light nuclei, the .`_2He^4` nuclei also have a low value of the binding energy per nucleon .
B. The binding energy per nucleon decreases for nuclei with small as well as large atomic number.
C. The energy requuired to remove one neutron from `._3Li^7` to transform it into the isotpes `._3Li^6` is` 5.6 MeV`, which is the same as the binding energy per nucleon of `._3Li^6`
D. When two deuterium ncueli fuse together, they give rise to a tritrium nucleus accompained by a release of energy.

Explanation

To solve the question, we need to analyze each statement provided in the options and determine their correctness based on our understanding of nuclear physics, particularly the binding energy per nucleon and nuclear reactions.

### Step-by-Step Solution:

1. **Analyze Option A**:
- Statement: "Like other light nuclei, the He2O4 nuclei also has a low value of B per nucleon."
- Explanation: Light nuclei typically have a low binding energy per nucleon. However, the helium nucleus (He) is an exception as it has a relatively high binding energy per nucleon. Therefore, this statement is incorrect.
- Conclusion: **Option A is wrong.**

2. **Analyze Option B**:
- Statement: "The binding energy per nucleon decreases for nuclei with small as well as large atomic number."
- Explanation: For small atomic numbers, the binding energy per nucleon is lower due to fewer protons and surface effects. For large atomic numbers, the binding energy per nucleon decreases due to inter-proton repulsion. Thus, this statement is correct.
- Conclusion: **Option B is correct.**

3. **Analyze Option C**:
- Statement: "The energy required to remove one neutron from Li7-3 to transform it into isotopes Li3-6 is 5.6 MeV, which is the same as the binding energy per nucleon of 3s lithium."
- Explanation: This is a factual statement that can be verified through experimental data. The energy required to remove a neutron from Li7-3 is indeed around 5.6 MeV, making this statement correct.
- Conclusion: **Option C is correct.**

4. **Analyze Option D**:
- Statement: "When two deuterium nuclei fuse together, it gives rise to a tritium nucleus."
- Explanation: When two deuterium nuclei (D) fuse, they typically produce a helium-3 nucleus and a neutron, not a tritium nucleus. Therefore, this statement is incorrect.
- Conclusion: **Option D is wrong.**

### Final Conclusion:
The correct options are **B and C**.

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