Assertion: Among the halogens bond energy of `F_(2)` is minimum.
Reason: Among halogens F atom is small in size.

Options

A. If both assertion and reason are true annd the reason is the correct explanation of assertion
B. If both assertion and reason are true but reason is not the correct explanation of assertion
C. If assertion is true but the reason is false
D. if assertion is false but the reason is true

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that among the halogens, the bond energy of \( F_2 \) (fluorine) is minimum. Bond energy is the amount of energy required to break a bond between two atoms.

### Step 2: Analyze the Bond Energies of Halogens
In the group of halogens (F, Cl, Br, I), the bond energies are influenced by the size of the atoms and the presence of lone pairs of electrons. As we move down the group from fluorine to iodine, the bond length increases due to the larger atomic size, which typically leads to a decrease in bond strength and therefore bond energy.

### Step 3: Compare Bond Energies
- **Fluorine (\( F_2 \))**: The bond energy is lower than expected due to the small size of the fluorine atom and the presence of three lone pairs of electrons on each atom. The repulsion between these lone pairs weakens the bond.
- **Chlorine (\( Cl_2 \))**: Chlorine has a higher bond energy compared to fluorine because the bond length is longer, and there is less lone pair repulsion.
- **Bromine (\( Br_2 \)) and Iodine (\( I_2 \))**: As we continue down the group, the bond energies decrease further, with iodine having the lowest bond energy.

### Step 4: Conclusion on the Assertion
The assertion that the bond energy of \( F_2 \) is the minimum among halogens is **incorrect**. In fact, iodine has the minimum bond energy.

### Step 5: Understand the Reason
The reason states that among halogens, the fluorine atom is small in size. This statement is **true**. Fluorine is indeed the smallest atom in the halogen group.

### Final Conclusion
- **Assertion**: False (the bond energy of \( F_2 \) is not the minimum; it is iodine).
- **Reason**: True (fluorine is the smallest atom among halogens).

Thus, the correct answer is that the assertion is false, and the reason is true.