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A common example of beta-"decay" is ""...

A common example of `beta-"decay"` is
`""_(15)P^(32)to""_(16)P^(32)+x+y`
Then, x and y stand for

A

electron and nectrino

B

positron and neutrino

C

electron and antineutrino

D

positron and antineutrino

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The correct Answer is:
To solve the problem, we need to analyze the beta decay process described in the equation: \[ _{15}^{32}P \rightarrow _{16}^{32}P + x + y \] ### Step-by-Step Solution: 1. **Identify the Initial and Final Nuclei**: - The initial nucleus is Phosphorus-32 \((_{15}^{32}P)\), which has 15 protons and 17 neutrons (since 32 - 15 = 17). - The final nucleus is Sulfur-32 \((_{16}^{32}P)\), which has 16 protons and 16 neutrons (since 32 - 16 = 16). 2. **Understand Beta Decay**: - In beta decay, a neutron in the nucleus is converted into a proton. This process increases the atomic number by 1 (from 15 to 16) while keeping the mass number the same (32). - The reaction can be summarized as: \[ n \rightarrow p + e^- + \bar{\nu} \] - Here, \(n\) is a neutron, \(p\) is a proton, \(e^-\) is the emitted beta particle (electron), and \(\bar{\nu}\) is the emitted antineutrino. 3. **Determine the Particles Emitted**: - From the beta decay process, we can identify that: - \(x\) corresponds to the emitted electron \((e^-)\). - \(y\) corresponds to the emitted antineutrino \((\bar{\nu})\). 4. **Write the Final Answer**: - Thus, we conclude that: - \(x = e^-\) (electron) - \(y = \bar{\nu}\) (antineutrino) ### Final Answer: - \(x\) stands for the electron and \(y\) stands for the antineutrino.

To solve the problem, we need to analyze the beta decay process described in the equation: \[ _{15}^{32}P \rightarrow _{16}^{32}P + x + y \] ### Step-by-Step Solution: ...
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