Assertion : Sodium-2-dodecyl benzene sulphonate is a biodegradable detergent.
Reason : Detergents having minium branching are biodegradable.

Answer

To analyze the assertion and reason provided in the question, we will break down the information step by step.

### Step 1: Understand the Assertion
The assertion states that sodium-2-dodecyl benzene sulphonate is a biodegradable detergent.

- **Biodegradable Detergent**: A biodegradable detergent is one that can be broken down by microorganisms, such as bacteria, into non-toxic substances.

### Step 2: Analyze the Structure of Sodium-2-Dodecyl Benzene Sulphonate
Sodium-2-dodecyl benzene sulphonate has a specific structure that includes a long hydrocarbon chain and a benzene ring.

- **Structure**: The compound consists of a dodecyl group (a long carbon chain) attached to a benzene ring, along with a sulfonate group (SO₃Na).

### Step 3: Determine Biodegradability
The key factor in determining whether a detergent is biodegradable is its structure, particularly the branching of the hydrocarbon chain.

- **Branching**: Detergents with highly branched hydrocarbon chains are generally not biodegradable because they are not easily broken down by bacteria. In contrast, linear or minimally branched detergents are more likely to be biodegradable.

### Step 4: Evaluate the Reason
The reason states that detergents having minimum branching are biodegradable.

- **Correctness of Reason**: This statement is true. Detergents with less branching are more easily degraded by bacteria, making them biodegradable.

### Step 5: Conclusion
Now, we need to evaluate both the assertion and the reason:

- **Assertion**: Sodium-2-dodecyl benzene sulphonate is a biodegradable detergent. (False)
- **Reason**: Detergents having minimum branching are biodegradable. (True)

Since the assertion is false and the reason is true, the correct conclusion is that the assertion does not support the reason.

### Final Answer
Both the assertion and reason are not correct in relation to each other. The assertion is false, while the reason is true.