Match the column :
`{:(,"Column-I Structure",,"Column-II Type of detergents",),((i),CH_(3)(CH_(2))_(16)COO(CH_(2)CH_(2)O)_(n)CH_(2)CH_(2)OH,(a),"Cationic detergent",),((ii),C_(17)H_(35)COO^(-)Na^(+),(b),"Anionic detergent",),((iii),CH_(3)-(CH_(2))_(10)CH_(2)Soverset(ө)(O)_(3)Noverset(o+)(a),(c ),"Nonionic detergent",),((iv),[CH_(3)(CH_(2))_(15)-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(N)-CH_(3)]^(o+)overset(ө)(Br),(d),"Soap",):}`

Options

A. i-a, ii-b, iii-c, iv-d
B. i-a, ii-b, iii-d, iv-c
C. i-c, ii-d, iii-b, iv-a
D. i-c, ii-d, iii-a, iv-b

Answer

To solve the problem of matching the structures in Column-I with their corresponding types of detergents in Column-II, we will analyze each structure one by one.

### Step-by-Step Solution:

1. **Analyzing Structure (i)**:
- The structure is given as \( \text{CH}_3\text{(CH}_2)_{16}\text{COO(CH}_2\text{CH}_2\text{O)}_n\text{CH}_2\text{CH}_2\text{OH} \).
- This structure contains no charged groups, indicating that it is a non-ionic detergent.
- **Match**: (i) → (c) "Nonionic detergent".

2. **Analyzing Structure (ii)**:
- The structure is \( \text{C}_{17}\text{H}_{35}\text{COO}^- \text{Na}^+ \).
- This is the structure of sodium stearate, which is a type of soap and has an anionic group (the carboxylate ion).
- **Match**: (ii) → (d) "Soap".

3. **Analyzing Structure (iii)**:
- The structure is \( \text{CH}_3\text{(CH}_2)_{10}\text{CH}_2\text{SO}_3^{-} \text{Na}^{+} \).
- This structure shows a significant anionic part (the sulfonate group), indicating that it is an anionic detergent.
- **Match**: (iii) → (b) "Anionic detergent".

4. **Analyzing Structure (iv)**:
- The structure is \( [\text{CH}_3\text{(CH}_2)_{15}\text{N}^+\text{(CH}_3)_3] \text{Br}^- \).
- Here, the nitrogen has a positive charge, indicating that this is a cationic detergent.
- **Match**: (iv) → (a) "Cationic detergent".

### Final Matches:
- (i) → (c) "Nonionic detergent"
- (ii) → (d) "Soap"
- (iii) → (b) "Anionic detergent"
- (iv) → (a) "Cationic detergent"

### Conclusion:
The correct matching is:
- (i) → (c)
- (ii) → (d)
- (iii) → (b)
- (iv) → (a)

The correct option from the choices provided is option 3.