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The curve of blinding energy per nucleon...

The curve of blinding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium.

A

can easily be broken up

B

is very stable

C

can be used as fissionable material

D

is radioactive

Text Solution

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The correct Answer is:
To solve the question regarding the binding energy per nucleon curve and its implications for the helium nucleus, we can follow these steps: ### Step 1: Understanding Binding Energy per Nucleon The binding energy per nucleon is a measure of how tightly the nucleons (protons and neutrons) are held together in a nucleus. A higher binding energy per nucleon indicates a more stable nucleus. **Hint:** Remember that stability in nuclear physics is often associated with higher binding energy per nucleon. ### Step 2: Analyzing the Curve The question states that there is a sharp peak in the curve of binding energy per nucleon as a function of atomic mass number at helium. This suggests that helium has a significantly higher binding energy per nucleon compared to other elements around it. **Hint:** Look for the significance of a peak in a graph; it often indicates a point of maximum value. ### Step 3: Implications of the Sharp Peak Since helium has a sharp peak in the binding energy per nucleon curve, it implies that the nucleons in helium are very tightly bound. This tight binding means that helium is a stable nucleus. **Hint:** Consider what it means for a nucleus to be "tightly bound"—it relates to how much energy would be required to break it apart. ### Step 4: Stability of Helium Given that helium is at a high point on the binding energy curve, we conclude that it is very stable. This stability means that helium is less likely to undergo fission or other forms of decay compared to nuclei with lower binding energy per nucleon. **Hint:** Think about the relationship between stability and the likelihood of nuclear reactions. ### Step 5: Final Conclusion Based on the analysis, we can conclude that the sharp peak in the binding energy per nucleon curve for helium indicates that it is very stable. Therefore, the correct implication is that helium is very stable. **Hint:** Revisit the options provided in the question to ensure that your conclusion aligns with the choices given. ### Final Answer: The correct implication is that helium is very stable due to its high binding energy per nucleon.
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