The higer homologue of dimethylamine `(CH_(3)-NH-CH_(3))` has the structure :-

Options

A. `(CH_(3))_(3)N`
B. `CH_(3)-CH_(2)-CH_(2)-NH_(2)`
C. `CH_(3)-NH-CH_(2)-CH_(3)`
D. `CH_(3)-underset(NH_(2))underset(|)(CH)-CH_(3)`

Answer

To determine the higher homologue of dimethylamine `(CH₃-NH-CH₃)`, we can follow these steps:

### Step 1: Understand the structure of dimethylamine
Dimethylamine has the formula `(CH₃)₂NH`. It consists of two methyl groups `(CH₃)` attached to a nitrogen atom `(NH)`.

### Step 2: Define what a homolog is
A homolog is a compound that has the same functional group but differs by a specific number of CH₂ groups. In organic chemistry, homologs typically differ by a -CH₂- unit.

### Step 3: Identify the higher homologue
To find the higher homologue of dimethylamine, we need to add one more -CH₂- group to the existing structure.

1. Start with the structure of dimethylamine:
- `CH₃-NH-CH₃`

2. Add a -CH₂- group:
- The new structure will be `CH₃-CH₂-NH-CH₃` (which can also be represented as `C₂H₅-NH-CH₃`).

### Step 4: Write the formula for the higher homologue
The new compound can be represented as:
- `C₂H₅-NH-CH₃` or `C₂H₇N`.

### Step 5: Confirm the number of carbon and hydrogen atoms
- In the higher homologue:
- Carbon (C): 2 from `C₂H₅` + 1 from `CH₃` = 3
- Hydrogen (H): 5 from `C₂H₅` + 3 from `CH₃` + 1 from `NH` = 9
- Nitrogen (N): 1

Thus, the higher homologue of dimethylamine is `C₃H₉N`, which corresponds to the structure of ethylmethylamine.

### Final Answer
The higher homologue of dimethylamine is `C₂H₅-NH-CH₃` (ethylmethylamine).

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