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Assertion : Nuclei having number about 6...

Assertion : Nuclei having number about 60 are most stable.
Reason : When two or more light nuclei are combined into a heavier nucleus, then the binding energy per nucleon will increase.

A

If both assertion and reason are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion

C

If assertion is true but reason is false

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "nuclei having number about 60 are most stable." This is based on the concept of 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. - **Fact**: Nuclei with mass numbers around 60 (like Iron-56) do indeed have one of the highest binding energies per nucleon, making them more stable compared to lighter or heavier nuclei. ### Step 2: Analyze the Reason The reason states that "when two or more light nuclei are combined into a heavier nucleus, then the binding energy per nucleon will increase." This statement is related to nuclear fusion. - **Fact**: In nuclear fusion, when light nuclei combine to form a heavier nucleus, the binding energy per nucleon does generally increase up to a certain point (around mass number 60). This is why fusion releases energy. ### Step 3: Determine the Relationship Now we need to determine if the reason is the correct explanation for the assertion. - While both statements are true (the assertion is true because nuclei around mass number 60 are stable, and the reason is true because fusion increases binding energy per nucleon), the reason does not directly explain why nuclei around mass number 60 are the most stable. The stability is a result of the binding energy characteristics of those specific nuclei, not directly due to the process of fusion. ### Conclusion - The assertion is true. - The reason is true, but it does not explain the assertion. Thus, the correct answer is that both the assertion and reason are true, but the reason is not the correct explanation of the assertion. ### Final Answer The correct option is: Both the assertion and reason are true, but the reason is not the correct explanation of the assertion. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "nuclei having number about 60 are most stable." This is based on the concept of 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. - **Fact**: Nuclei with mass numbers around 60 (like Iron-56) do indeed have one of the highest binding energies per nucleon, making them more stable compared to lighter or heavier nuclei. ### Step 2: Analyze the Reason ...
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