Which one is a correct statement of the follwing-

Options

A. Ionic radius of a metal is same as its atomic radius
B. The ionic of a metal is greater than its atomic radius
C. The atomic radius of a non - metal is more than its ionic radius
D. The ionic radius of a metal is less than its atomic radius

Answer

To solve the question, we need to analyze each of the given statements regarding the ionic and atomic radii of metals and non-metals.

### Step-by-Step Solution:

1. **Understanding Ionic and Atomic Radius:**
- The atomic radius is the distance from the nucleus to the outermost shell of electrons in an atom.
- The ionic radius is the radius of an atom's ion. For metals, this typically refers to cations (positively charged ions), while for non-metals, it refers to anions (negatively charged ions).

2. **Evaluating Option A:**
- **Statement:** "Ionic radius of metal is same as its atomic radius."
- **Analysis:** This is incorrect. When a metal loses electrons to form a cation, its ionic radius becomes smaller than its atomic radius due to the increased nuclear charge attracting the remaining electrons more strongly.

3. **Evaluating Option B:**
- **Statement:** "The ionic radius of metal is greater than its atomic radius."
- **Analysis:** This is also incorrect. As established, the ionic radius of a metal (cation) is always smaller than its atomic radius.

4. **Evaluating Option C:**
- **Statement:** "The atomic radius of non-metal is more than its ionic radius."
- **Analysis:** This statement is incorrect. Non-metals gain electrons to form anions, and the ionic radius of an anion is larger than the atomic radius due to the increased electron-electron repulsion in the outer shell.

5. **Evaluating Option D:**
- **Statement:** "The ionic radius of metal is less than its atomic radius."
- **Analysis:** This statement is correct. As mentioned earlier, when metals form cations, their ionic radius decreases compared to their atomic radius.

6. **Conclusion:**
- The only correct statement among the options provided is Option D: "The ionic radius of metal is less than its atomic radius."

### Final Answer:
**The correct statement is: Option D - The ionic radius of metal is less than its atomic radius.**

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