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Which one of the following is a possible nuclear reaction ?

A

`._5^10 B + ._2^4 He rarr ._7^13N + ._1^1H`

B

`._93^239Np rarr ._94^239Pu + beta^- + overline v`

C

`._11^23Na + ._1^1 H rarr ._10^20 Ne + ._2^4 He`

D

`._7^11N + ._1^1H rarr ._6^12 C + beta^- + v`

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AI Generated Solution

The correct Answer is:
To determine which of the given nuclear reactions is possible, we need to analyze each reaction based on the conservation laws of mass, charge, and energy. Here's a step-by-step breakdown of the solution: ### Step 1: Understand the Conservation Laws Nuclear reactions must obey the conservation of: - **Mass Number** (total number of nucleons) - **Charge** (total charge) - **Energy** ### Step 2: Analyze Each Reaction Let's denote the reactions as A, B, C, and D for analysis. #### Reaction A: - Nucleons: 14 (left side) vs. 14 (right side) - Charge: Not conserved (check the specific charges) - Conclusion: **Not possible** due to charge conservation. #### Reaction B: - Nucleons: 239 (left side) vs. 239 (right side) - Charge: 93 (left side) vs. 93 (right side) (considering beta particle and anti-neutrino) - Conclusion: **Possible** as both mass and charge are conserved. #### Reaction C: - Nucleons: 23 + 124 = 147 (left side) vs. 24 (right side) - Charge: Check if the charge balances (sodium and hydrogen interaction) - Conclusion: **Not possible** because sodium does not react with hydrogen in this way. #### Reaction D: - Nucleons: 12 (left side) vs. 12 (right side) - Charge: Check if the charge balances - Conclusion: **Not possible** due to charge conservation. ### Step 3: Final Conclusion After analyzing all reactions, we find that: - **Reaction A**: Not possible (charge not conserved) - **Reaction B**: Possible (both mass and charge conserved) - **Reaction C**: Not possible (sodium does not react with hydrogen this way) - **Reaction D**: Not possible (charge not conserved) Thus, the only possible nuclear reaction is **Reaction B**.

To determine which of the given nuclear reactions is possible, we need to analyze each reaction based on the conservation laws of mass, charge, and energy. Here's a step-by-step breakdown of the solution: ### Step 1: Understand the Conservation Laws Nuclear reactions must obey the conservation of: - **Mass Number** (total number of nucleons) - **Charge** (total charge) - **Energy** ...
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