The correct order of basicities of `PhNH_(2)(A),` and `Ph_(2)NH(B)` and cyclohexyl`-NH_(2)(C)` is

Options

A. `AgtBgtC`
B. `AgtCgtB`
C. `CgtAgtB`
D. `CgtBgtA`

Explanation

To determine the correct order of basicities of the compounds PhNH₂ (A), Ph₂NH (B), and cyclohexyl-NH₂ (C), we need to analyze the structure and electronic effects of each compound.

### Step-by-Step Solution:

1. **Identify the Compounds**:
- PhNH₂ (A) is an aniline compound where the amino group (-NH₂) is attached to a phenyl group (C6H5).
- Ph₂NH (B) is diphenylamine, where the amino group is attached to two phenyl groups.
- Cyclohexyl-NH₂ (C) is an amine where the amino group is attached to a cyclohexyl group.

2. **Understand Basicity**:
- Basicity in amines is largely determined by the availability of the lone pair of electrons on the nitrogen atom to accept protons (H⁺).
- A localized lone pair is more available for protonation compared to a delocalized lone pair.

3. **Analyze PhNH₂ (A)**:
- In PhNH₂, the lone pair on nitrogen is somewhat localized, but the phenyl group can delocalize some of the electron density due to resonance. This reduces the basicity compared to alkyl amines.

4. **Analyze Ph₂NH (B)**:
- In Ph₂NH, the lone pair on nitrogen is even more delocalized because it is influenced by two phenyl groups. This further decreases its basicity compared to PhNH₂.

5. **Analyze Cyclohexyl-NH₂ (C)**:
- Cyclohexyl-NH₂ has a localized lone pair on the nitrogen. The cyclohexyl group does not have any resonance effect that would delocalize the lone pair, making it more basic than both PhNH₂ and Ph₂NH.

6. **Compare Basicities**:
- Cyclohexyl-NH₂ (C) > PhNH₂ (A) > Ph₂NH (B)
- Therefore, the order of basicity is C > A > B.

### Final Order of Basicities:
Cyclohexyl-NH₂ (C) > PhNH₂ (A) > Ph₂NH (B)