An organic compound (A) with molecular formula `C_(7)H_(8)O` dissolves in NaOH and gives characteristic colour with `FeCl_(3)`. On treatement with `Br_(3)`, it gives a tribromo product `C_(7)H_(5)Br_(3)`. The compound is:

Options

A. p-Hydroxybenzene
B. 2-Methoxy-2-phenyl propane
C. m-Cresol
D. p-Cresol

Explanation

To solve the question regarding the organic compound (A) with the molecular formula C₇H₈O, we will follow these steps:

### Step 1: Determine the Degree of Unsaturation
The degree of unsaturation (DU) can be calculated using the formula:
\[ \text{DU} = \frac{2C + 2 - H}{2} \]
where C is the number of carbon atoms and H is the number of hydrogen atoms.

For the compound C₇H₈O:
- C = 7
- H = 8

Substituting the values:
\[ \text{DU} = \frac{2(7) + 2 - 8}{2} = \frac{14 + 2 - 8}{2} = \frac{8}{2} = 4 \]

### Step 2: Analyze the Structure
A degree of unsaturation of 4 suggests the presence of a benzene ring (which accounts for 4 degrees of unsaturation). This indicates that the compound likely has a benzene ring and may also have additional substituents.

### Step 3: Identify Functional Groups
The presence of an -OH group (hydroxyl group) is indicated by the molecular formula C₇H₈O. Given that the compound dissolves in NaOH and gives a characteristic color with FeCl₃, this suggests that the compound is a phenol.

### Step 4: Consider Substituents on the Benzene Ring
Since the compound gives a tribromo product (C₇H₅Br₃) upon treatment with Br₂, this indicates that bromine is adding to the benzene ring. The formation of a tribromo product suggests that both ortho and para positions on the ring are available for substitution, which implies that a methyl group (–CH₃) is likely present at the meta position relative to the hydroxyl group.

### Step 5: Identify the Compound
Considering the structure we have deduced:
- The compound is a phenol (due to the -OH group).
- The methyl group is at the meta position relative to the -OH group.

This compound is known as **meta-cresol** or **metacresol**.

### Conclusion
The organic compound (A) is **metacresol**.