Choose isotopes and isobars from the following:
`""_(6)^(12)C, ""_(5)^(12)B, ""_(7)^(14)N, ""_(8)^(14)O, ""_(8)^(16)O, ""_(6)^(14)C, ""_(7)^(13)N`

Answer

To solve the problem of identifying isotopes and isobars from the given list, we will follow these steps:

### Step 1: Understand the Definitions
- **Isotopes**: Atoms of the same element that have the same atomic number but different mass numbers.
- **Isobars**: Atoms of different elements that have the same mass number but different atomic numbers.

### Step 2: List the Given Nuclides
The given nuclides are:
1. \( _{6}^{12}C \)
2. \( _{5}^{12}B \)
3. \( _{7}^{14}N \)
4. \( _{8}^{14}O \)
5. \( _{8}^{16}O \)
6. \( _{6}^{14}C \)
7. \( _{7}^{13}N \)

### Step 3: Identify Isotopes
To find isotopes, we look for nuclides with the same atomic number:
- \( _{6}^{12}C \) and \( _{6}^{14}C \) (same atomic number 6, different mass numbers)
- \( _{8}^{14}O \) and \( _{8}^{16}O \) (same atomic number 8, different mass numbers)
- \( _{7}^{14}N \) and \( _{7}^{13}N \) (same atomic number 7, different mass numbers)

**Isotopes identified**:
- \( _{6}^{12}C \) and \( _{6}^{14}C \)
- \( _{8}^{14}O \) and \( _{8}^{16}O \)
- \( _{7}^{14}N \) and \( _{7}^{13}N \)

### Step 4: Identify Isobars
To find isobars, we look for nuclides with the same mass number:
- \( _{6}^{12}C \) and \( _{5}^{12}B \) (same mass number 12, different atomic numbers)
- \( _{7}^{14}N \) and \( _{8}^{14}O \) (same mass number 14, different atomic numbers)
- \( _{6}^{14}C \) and \( _{8}^{14}O \) (same mass number 14, different atomic numbers)

**Isobars identified**:
- \( _{6}^{12}C \) and \( _{5}^{12}B \)
- \( _{7}^{14}N \) and \( _{8}^{14}O \)
- \( _{6}^{14}C \) and \( _{8}^{14}O \)

### Final Summary
- **Isotopes**:
- \( _{6}^{12}C \), \( _{6}^{14}C \)
- \( _{8}^{14}O \), \( _{8}^{16}O \)
- \( _{7}^{14}N \), \( _{7}^{13}N \)

- **Isobars**:
- \( _{6}^{12}C \), \( _{5}^{12}B \)
- \( _{7}^{14}N \), \( _{8}^{14}O \)
- \( _{6}^{14}C \), \( _{8}^{14}O \)