Which of the following is an isobaric pair

Options

A. `""_(6)C^(13) , ""_(7)N^(13)`
B. `""_(6)C^(13) , ""_(7)N^(14)`
C. `""_(7)C^(14) , ""_(8)O^(15)`
D. `""_(7)N^(13) , ""_(8)O^(15)`

Explanation

To determine which of the given options is an isobaric pair, we need to understand the concept of isobars.

### Step-by-Step Solution:

1. **Define Isobars**: Isobars are nuclides that have the same mass number (nucleon number) but different atomic numbers. This means they have the same total number of protons and neutrons combined, but differ in the number of protons (and thus, the element).

2. **Identify Mass Number**: The mass number (A) is calculated as the sum of protons (Z) and neutrons (N) in the nucleus. Thus, A = Z + N.

3. **Examine Given Options**: Look at the options provided in the question. For each pair of elements, calculate the mass number (A) by adding the number of protons and neutrons.

4. **Compare Mass Numbers**: After calculating the mass numbers for each pair, identify which pairs have the same mass number. These pairs will be your isobars.

5. **Select the Isobaric Pair**: Once you have identified the pairs with the same mass number, select the correct option as the isobaric pair.

### Example Calculation:
- For example, if you have Carbon-14 (6 protons, 8 neutrons) and Nitrogen-14 (7 protons, 7 neutrons):
- Carbon: A = 6 + 8 = 14
- Nitrogen: A = 7 + 7 = 14
- Both have the same mass number (14), hence they are isobars.

### Conclusion:
After analyzing the options, you would select the pair that shares the same mass number as your answer.