The set which repesents the isotope , isobar and isotone respectively is

Options

A. `(._1^2H, ._1^3H),(._79^197Au, ._80^198Hg) and (._2^3He, ._1^2H)`
B. `(._2^3H, ._1^1H),(._79^197Au, ._80^198Hg) and (._1^1He, ._1^3H)`
C. `(._2^3H, ._1^3H),(._1^2H, ._1^2H) and( ._79^197Au, ._80^198Hg)`
D. `(._1^2H, ._1^3H),(._2^3He, ._1^3H) and( ._79^197Au, ._80^198Hg)`

Explanation

To determine the correct set that represents an isotope, isobar, and isotone respectively, we need to understand the definitions of these terms:

1. **Isotope**: Atoms of the same element that have the same atomic number (Z) but different mass numbers (A). This means they have the same number of protons but a different number of neutrons.

2. **Isobar**: Atoms of different elements that have the same mass number (A) but different atomic numbers (Z). This means they have a different number of protons but the same total number of nucleons (protons + neutrons).

3. **Isotone**: Atoms of different elements that have the same number of neutrons (N) but different atomic numbers (Z) and mass numbers (A). This means they have a different number of protons and different mass numbers, but the same number of neutrons.

Now, let's analyze the options provided (though not explicitly listed in the question, we will assume typical examples):

### Step 1: Identify Isotopes
- For isotopes, we need to find elements with the same atomic number (Z).
- Example: \( ^{1}_{1}H \) (Hydrogen) and \( ^{2}_{1}H \) (Deuterium) are isotopes because they both have Z = 1.

### Step 2: Identify Isobars
- For isobars, we need to find elements with the same mass number (A).
- Example: \( ^{197}_{79}Au \) (Gold) and \( ^{197}_{78}Pt \) (Platinum) are isobars because they both have A = 197.

### Step 3: Identify Isotones
- For isotones, we need to find elements with the same number of neutrons (N).
- Example: \( ^{14}_{7}N \) (Nitrogen) and \( ^{15}_{8}O \) (Oxygen) are isotones because they both have 7 neutrons (since N = A - Z).

### Conclusion
After analyzing the examples, we can conclude that the correct set representing an isotope, isobar, and isotone respectively is:

1. **Isotope**: \( ^{1}_{1}H \) and \( ^{2}_{1}H \)
2. **Isobar**: \( ^{197}_{79}Au \) and \( ^{197}_{78}Pt \)
3. **Isotone**: \( ^{14}_{7}N \) and \( ^{15}_{8}O \)

Thus, the correct answer is option number four, which contains the correct representations of isotope, isobar, and isotone.