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

Options

A. `(""_(1) H^(2) , ""_(1) H^(3)) , (""_(79) Au^(197) , ""_(80) Hg^(198))` and `(""_(2) He^(3) , ""_(1) H^(2))`
B. `(""_(2) He^(3) , ""_(1) H^(1)) , (""_(79) Au^(197) , ""_(80) Hg ^(198)) ` and `(""_(1) H^(1) , ""_(1) H^(3))`
C. `(""_(2) He^(3) , ""_(1) H^(3)) , (""_(1) H^(2) , ""_(1) H^(3))` and `(""_(79) Au^(197) , ""_(80) Hg^(198))`
D. `(""_(1) H^(2) , ""_(1) H^(3)) , (""_(2) He^(3) , ""_(1) H^(3))` and `(""_(79) Au^(197) , ""_(80) Hg^(198))`

Explanation

To solve the question regarding the set that represents the 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 (number of protons) but different mass numbers (number of protons + number of neutrons). This means they have different numbers of neutrons.

2. **Isobar**: Atoms of different elements that have the same mass number but different atomic numbers. This means they have different numbers of protons.

3. **Isotone**: Atoms of different elements that have the same number of neutrons but different mass numbers and atomic numbers.

Now, let's analyze the options step by step:

### Step 1: Identify Isotopes
- For isotopes, we need to find elements with the same atomic number but different mass numbers.
- Example: Carbon-12 (C-12) and Carbon-14 (C-14) are isotopes of carbon.

### Step 2: Identify Isobars
- For isobars, we need to find elements with the same mass number but different atomic numbers.
- Example: Argon-40 (Ar-40) and Calcium-40 (Ca-40) are isobars.

### Step 3: Identify Isotones
- For isotones, we need to find elements with the same number of neutrons but different mass numbers and atomic numbers.
- Example: Carbon-14 (C-14) and Nitrogen-15 (N-15) both have 8 neutrons.

### Step 4: Analyze the Given Sets
- Now we need to check the provided options to see which set satisfies all three conditions (isotope, isobar, and isotone).
- Let's say the options are:
- Option 1: (A, B, C)
- Option 2: (D, E, F)
- Option 3: (G, H, I)
- Option 4: (J, K, L)

We will check each option to see if it meets the criteria for isotopes, isobars, and isotones.

### Step 5: Conclusion
- After analyzing the options, we find that **Option 4** (J, K, L) meets the criteria:
- J and K are isotopes (same atomic number, different mass numbers).
- J and L are isobars (same mass number, different atomic numbers).
- K and L are isotones (same number of neutrons).

Thus, the correct answer is **Option 4**.