Select the correct statements:

Options

A. `HSO_(5)^(-)` ion has one S-O-H linkage
B. Number of B-O-B linkage in Borax is equal to number of P-O-P linkage in `P_(4)O_(10)`
C. Hybridization of both sulphur in `H_(2)S_(2)O_(8)` (pyrosulphurous acid ) is same but oxidation state of both sulphur are different
D. Tetra-polyphosphoric acid has four P-O-P and no P-P linkage

Explanation

To solve the question regarding the correct statements about chemical bonding, we will analyze each statement step by step based on the information provided in the video transcript.

### Step-by-Step Solution

1. **Analyze HSO5⁻ Ion Structure**:
- The HSO5⁻ ion consists of one sulfur (S) atom and five oxygen (O) atoms.
- Sulfur has 6 valence electrons.
- The structure includes one hydroxyl group (OH) and one negatively charged oxygen (O⁻).
- The statement claims that there is an SOH linkage; however, the structure indicates that there is a CS double bond with OH instead.
- **Conclusion**: This statement is **incorrect**.

2. **Borax and P4O10 Linkages**:
- Borax (Na2B4O7) has boron (B) and oxygen (O) linkages.
- The structure shows that there are 5 B-O-B linkages.
- For P4O10, the structure indicates there are 6 P-O-P linkages.
- The statement claims that the number of B-O-B linkages in borax equals the number of P-O-P linkages in P4O10, which is not true.
- **Conclusion**: This statement is **incorrect**.

3. **Hybridization and Oxidation States of Sulfur in H2SO5**:
- The hybridization of sulfur can be determined by counting the sigma bonds and lone pairs.
- For the first sulfur, there are 4 sigma bonds and no lone pairs, leading to sp³ hybridization.
- The oxidation states are calculated as follows:
- For one sulfur: +5 (due to the presence of -2 from two oxygens and +1 from OH).
- For the other sulfur: +3 (due to -2 from one oxygen and -1 from OH).
- The statement claims both sulfur atoms have the same hybridization but different oxidation states, which is true.
- **Conclusion**: This statement is **correct**.

4. **Tetrapolyphosphoric Acid Linkages**:
- The structure of tetrapolyphosphoric acid (H4P4O13) indicates that it has 3 P-O-P linkages, not 4.
- The statement also claims there are no P-P linkages, which is true.
- Therefore, the statement that tetrapolyphosphoric acid has 4 P-O-P linkages and no P-P linkages is incorrect.
- **Conclusion**: This statement is **incorrect**.

### Final Answer
The only correct statement is about the hybridization and oxidation states of sulfur in H2SO5. Thus, the correct option is **C**.