Which of the following statements is `//` are wrong ?

Options

A. Butyl chloride `(I)` undergoes elimination reaction faster than `4-` chloro`-` but`-1-`ene `(II)`
B. `(I)` gives but`-1-`ene `(III)` on elimination with alc. `NaOH` while `(II)` gives buta `-1,3-`diene `(IV)`.
C. The product `(IV)(` a congregated diene `)` is more stable than the product `(III)`, a monosubstituted alkene.
D. The transition states `(T.S.)` leading the products determing the relative stabilities of the product. Since the `T.S.` leading to buta `-1,3-`diene has lower `Delta G_("activation")` (free energy of the activation), so the elimination reaction of `(I)` will occur more rapidly.

Explanation

To determine which statements are wrong regarding the elimination reactions of butyl chloride and four chloro-1-butene, we will analyze each statement step by step.

### Step 1: Analyze Statement A
**Statement A**: Butyl chloride undergoes elimination reaction faster than four chloro-1-butene.

- **Analysis**:
- Butyl chloride (1-chlorobutane) undergoes elimination to form butene.
- Four chloro-1-butene undergoes elimination to form butadiene (1,3-butadiene).
- The product butadiene is more stable than butene due to its conjugated diene structure.
- Reactions that yield more stable products tend to occur faster.

- **Conclusion**: This statement is **false** because butyl chloride does not undergo elimination faster than four chloro-1-butene.

### Step 2: Analyze Statement B
**Statement B**: The first gives butene on elimination with alcoholic NaOH while the second gives 1,3-diene.

- **Analysis**:
- Butyl chloride does indeed yield butene upon elimination.
- Four chloro-1-butene yields 1,3-butadiene upon elimination.

- **Conclusion**: This statement is **true**.

### Step 3: Analyze Statement C
**Statement C**: The product of a conjugated diene is more stable than that of a mono-substituted alkene.

- **Analysis**:
- Conjugated dienes (like 1,3-butadiene) are generally more stable than mono-substituted alkenes due to resonance stabilization.

- **Conclusion**: This statement is **true**.

### Step 4: Analyze Statement D
**Statement D**: The transition state leading to the product determines the relative stability of the product. Since the transition state leading to beta 1,3-diene has lower delta G activation, the elimination reaction of the first will occur more rapidly.

- **Analysis**:
- The transition state does influence the rate of the reaction, but the statement incorrectly claims that the transition state leading to the conjugated diene (1,3-butadiene) has lower activation energy than that of butene.
- In fact, the elimination reaction leading to the more stable product (1,3-butadiene) occurs more rapidly, contradicting the statement's conclusion.

- **Conclusion**: This statement is **false**.

### Final Conclusion
The wrong statements are **A** and **D**.