Statement-1 : In caro's acid the oxidation state of sulphur is `+5`
Statement-2: In caro's acid, there is one peroxolinkage. `(-O-O-)`

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-15
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-16
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Explanation

To solve the given question regarding Caro's acid (H2SO5) and the oxidation state of sulfur, we will follow these steps:

### Step 1: Identify the structure of Caro's acid
Caro's acid is represented by the chemical formula H2SO5. It consists of one sulfur atom and five oxygen atoms. The structure can be drawn as follows:
- Sulfur (S) is bonded to four oxygen atoms: two of these are double-bonded (O=) and one is single-bonded (O) to a hydroxyl group (OH). The fourth oxygen is part of a peroxy linkage (-O-O-).

### Step 2: Assign oxidation states
To determine the oxidation state of sulfur (S) in Caro's acid, we will assign oxidation states to each atom:
- The oxidation state of hydrogen (H) is +1.
- The oxidation state of oxygen (O) in a peroxy linkage (-O-O-) is -1.
- The oxidation state of the remaining oxygen atoms (not in peroxy linkage) is -2.

### Step 3: Set up the equation
Since Caro's acid is a neutral molecule, the sum of the oxidation states must equal zero. We can set up the equation as follows:
- For two hydrogen atoms: 2 × (+1) = +2
- For one sulfur atom: 1 × (oxidation state of S) = X
- For two oxygen atoms in the peroxy linkage: 2 × (-1) = -2
- For the remaining three oxygen atoms: 3 × (-2) = -6

The equation becomes:
\[ +2 + X - 2 - 6 = 0 \]

### Step 4: Solve for the oxidation state of sulfur
Now, we simplify the equation:
\[ +2 + X - 2 - 6 = 0 \]
\[ X - 6 = 0 \]
\[ X = +6 \]

### Step 5: Analyze the statements
- **Statement 1**: "In Caro's acid, the oxidation state of sulfur is +5." This statement is **false** because we calculated the oxidation state of sulfur to be +6.
- **Statement 2**: "In Caro's acid, there is one peroxy linkage (-O-O-)." This statement is **true** as we identified the presence of a peroxy linkage in the structure.

### Conclusion
Based on the analysis:
- Statement 1 is false.
- Statement 2 is true.

Thus, the correct answer is that Statement 1 is false and Statement 2 is true.

### Final Answer
The correct option is D: Statement 1 is false, Statement 2 is true.