A general a-decay from a parent nucleus A₂X may be indicated as: A₂X (A+4) (2+2) Y+42He A₂X (A+4), (Z-2) Y+4₂He O A₂X (A-4) (2+2) Y+42He (Z-2) Y+42He AZX→ (A-4),
A general a-decay from a parent nucleus A₂X may be indicated as: A₂X (A+4) (2+2) Y+42He A₂X (A+4), (Z-2) Y+4₂He O A₂X (A-4) (2+2) Y+42He (Z-2) Y+42He AZX→ (A-4),
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![### Understanding Alpha Decay
Alpha decay is a type of radioactive decay in which a parent nucleus emits an alpha particle (consisting of 2 protons and 2 neutrons), resulting in a daughter nucleus that has a different atomic number and mass number. This process can be represented symbolically.
#### Alpha Decay Equation
Consider a parent nucleus \( A_Z^X \), where \( A \) is the mass number, \( Z \) is the atomic number, and \( X \) is the chemical symbol of the element. The general form for denoting an alpha decay can be written as:
\[ A_Z^X \rightarrow A'_{Z'}Y + \alpha \]
Here, \( \alpha \) or \( ^4_2He \) represents the alpha particle.
#### Multiple Choices for Explanation
The following are four different ways to indicate the alpha decay of a parent nucleus \( A_Z^X \). The correct form needs to be identified:
1. \( A_Z^X \rightarrow A^{(A+4)}_{(Z+2)}Y + ^4_2He \)
2. \( A_Z^X \rightarrow A^{(A+4)}_{(Z-2)}Y + ^4_2He \)
3. \( A_Z^X \rightarrow A^{(A-4)}_{(Z+2)}Y + ^4_2He \)
4. \( A_Z^X \rightarrow A^{(A-4)}_{(Z-2)}Y + ^4_2He \)
#### Explanation of Choices
- **Choice 1:** \( A_Z^X \rightarrow A^{(A+4)}_{(Z+2)}Y + ^4_2He \)
- This choice suggests that the daughter nucleus has a mass number \( (A+4) \) and an atomic number \( (Z+2) \). This does not correctly represent alpha decay, as the mass number should decrease by 4 and the atomic number should decrease by 2.
- **Choice 2:** \( A_Z^X \rightarrow A^{(A+4)}_{(Z-2)}Y + ^4_2He \)
- This choice incorrectly suggests that the mass number increases by 4 instead of decreasing by 4.
- **Choice 3:** \( A_Z^X \rightarrow A^{(A-4)}_{(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c939cff-bc46-4066-b22a-d4e55e2c89ab%2F7e32abbd-0475-4582-b98c-201b3c55f51d%2F97gfzt_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Alpha Decay
Alpha decay is a type of radioactive decay in which a parent nucleus emits an alpha particle (consisting of 2 protons and 2 neutrons), resulting in a daughter nucleus that has a different atomic number and mass number. This process can be represented symbolically.
#### Alpha Decay Equation
Consider a parent nucleus \( A_Z^X \), where \( A \) is the mass number, \( Z \) is the atomic number, and \( X \) is the chemical symbol of the element. The general form for denoting an alpha decay can be written as:
\[ A_Z^X \rightarrow A'_{Z'}Y + \alpha \]
Here, \( \alpha \) or \( ^4_2He \) represents the alpha particle.
#### Multiple Choices for Explanation
The following are four different ways to indicate the alpha decay of a parent nucleus \( A_Z^X \). The correct form needs to be identified:
1. \( A_Z^X \rightarrow A^{(A+4)}_{(Z+2)}Y + ^4_2He \)
2. \( A_Z^X \rightarrow A^{(A+4)}_{(Z-2)}Y + ^4_2He \)
3. \( A_Z^X \rightarrow A^{(A-4)}_{(Z+2)}Y + ^4_2He \)
4. \( A_Z^X \rightarrow A^{(A-4)}_{(Z-2)}Y + ^4_2He \)
#### Explanation of Choices
- **Choice 1:** \( A_Z^X \rightarrow A^{(A+4)}_{(Z+2)}Y + ^4_2He \)
- This choice suggests that the daughter nucleus has a mass number \( (A+4) \) and an atomic number \( (Z+2) \). This does not correctly represent alpha decay, as the mass number should decrease by 4 and the atomic number should decrease by 2.
- **Choice 2:** \( A_Z^X \rightarrow A^{(A+4)}_{(Z-2)}Y + ^4_2He \)
- This choice incorrectly suggests that the mass number increases by 4 instead of decreasing by 4.
- **Choice 3:** \( A_Z^X \rightarrow A^{(A-4)}_{(
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