Match list-I with list-II and select the correct answer using the codes given below
`{:(" List- I " ,, " List - II ") , (" Ion " ,, " Radius (in pm) ") , ("(I)" Li^(+) ,, (a) 216), ("(II)" Na^(+) ,, (b) 195), ("(III)" Br^(-) ,, (c) 60) , ("(IV)" I^(-) ,, (d) 95):}`
Codes :

Options

A. `{:( "I" ,, "II" ,, "III" ,, "IV") , ( "a" ,, "b" ,, "d" ,, "c"):}`
B. `{:( "I" ,, "II" ,, "III" ,, "IV") , ( "b" ,, "c" ,, "a" ,, "d"):}`
C. `{:( "I" ,, "II" ,, "III" ,, "IV") , ( "c" ,, "d" ,, "b" ,, "a"):}`
D. `{:( "I" ,, "II" ,, "III" ,, "IV") , ( "d" ,, "c" ,, "b" ,, "a"):}`

Answer

To solve the problem of matching the ions with their respective ionic radii, we will follow these steps:

### Step 1: Identify the Ions and Their Groups
We have the following ions:
1. Li^+
2. Na^+
3. Br^(-)
4. I^(-)

- Li and Na are Group 1 elements (alkali metals).
- Br and I are Group 17 elements (halogens).

### Step 2: Understand Ionic Radius Trends
- **Ionic radius increases down a group**: This means that as we move from Li to Na (both in Group 1), the ionic radius of Na^+ will be larger than that of Li^+.
- **Ionic radius decreases across a period**: As we move from left to right in a period, the ionic radius decreases due to increased nuclear charge.

### Step 3: Compare the Ionic Radii
1. **Li^+ vs Na^+**:
- Li^+ has a smaller ionic radius than Na^+.
- Therefore, we expect Li^+ to have a smaller radius than Na^+.

2. **Br^(-) vs I^(-)**:
- I^(-) will have a larger ionic radius than Br^(-) since I is below Br in Group 17.
- Therefore, I^(-) will have a larger radius than Br^(-).

### Step 4: Assign the Ionic Radii from List II
Now we will match the ions with their respective ionic radii based on the trends we discussed:
- **Li^+**: Smallest ionic radius among the given ions. It matches with (c) 60 pm.
- **Na^+**: Larger than Li^+, matches with (d) 95 pm.
- **Br^(-)**: Larger than Na^+, but smaller than I^(-). It matches with (b) 195 pm.
- **I^(-)**: Largest ionic radius, matches with (a) 216 pm.

### Step 5: Final Matching
Now we can summarize the matches:
- (I) Li^+ → (c) 60 pm
- (II) Na^+ → (d) 95 pm
- (III) Br^(-) → (b) 195 pm
- (IV) I^(-) → (a) 216 pm

### Step 6: Write the Final Answer
The correct matches are:
- I → c
- II → d
- III → b
- IV → a

### Codes:
Thus, the correct answer using the codes is:
**C**: (I) → (c), (II) → (d), (III) → (b), (IV) → (a).

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