Step 1: Understanding the Concept:
This question requires determining the hybridization and molecular geometry of two interhalogen/chalcogen-halogen compounds using the Valence Shell Electron Pair Repulsion (VSEPR) theory and the concept of hybridization.
Step 2: Analyzing SF₆:
- Central Atom: Sulfur (S).
- Valence Electrons of S: 6 (from Group 16).
- Atoms Bonded: 6 Fluorine atoms. Each F forms a single bond.
- Total Electron Pairs around S: Sulfur forms 6 single bonds with 6 fluorine atoms. It uses all 6 of its valence electrons in bonding.
- Bond Pairs: 6.
- Lone Pairs: 0.
- Total Steric Number: 6 + 0 = 6.
- Hybridization: A steric number of 6 corresponds to \(sp^3d^2\) hybridization.
- Geometry: With 6 bond pairs and 0 lone pairs, the electron geometry and molecular shape are both octahedral.
Step 3: Analyzing BrF₅:
- Central Atom: Bromine (Br).
- Valence Electrons of Br: 7 (from Group 17, Halogens).
- Atoms Bonded: 5 Fluorine atoms. Each F forms a single bond.
- Electrons Used in Bonding: 5.
- Electrons Remaining as Lone Pairs: 7 - 5 = 2 electrons, which form 1 lone pair.
- Bond Pairs: 5.
- Lone Pairs: 1.
- Total Steric Number: 5 + 1 = 6.
- Hybridization: A steric number of 6 corresponds to \(sp^3d^2\) hybridization.
- Geometry: The electron geometry for 6 electron pairs is octahedral. However, with 5 bond pairs and 1 lone pair, the molecular shape is square pyramidal.
Step 4: Evaluating the Statements:
- Statement-I: Hybridisation is not same in both SF₆ and BrF₅.
- Hybridization of SF₆ is \(sp^3d^2\).
- Hybridization of BrF₅ is \(sp^3d^2\).
- The hybridizations are the same. Therefore, Statement-I is incorrect.
- Statement-II: BrF₅ is Square pyramidal while SF₆ is octahedral in shape.
- The shape of BrF₅ is indeed square pyramidal.
- The shape of SF₆ is indeed octahedral.
- Therefore, Statement-II is correct.
Let me re-read the options and my analysis.
My analysis: Statement I is incorrect, Statement II is correct. This corresponds to option (C).
However, the provided key might be different. Let me check the OCR options.
Option 1: Both correct.
Option 2: I correct, II incorrect.
Option 3: I incorrect, II correct.
Option 4: Both incorrect.
My analysis leads to Option 3. Let me carefully re-read Statement-I from the image.
"Hybridisation is not same in both SF₆ and BrF₅". My conclusion is that they are both sp³d², so the statement is technically incorrect.
What if there is a nuance I am missing? No, for a steric number of 6, the hybridization is sp³d². This is standard.
Let's re-read the provided solution key in the image, it is ticked as "Both statements I and II are correct". This is a direct contradiction to the chemical principles.
Let's assume there is a typo in Statement-I. If it said "Shape is not same...", it would be correct. If it said "Hybridisation is the same...", it would be correct. As written "Hybridisation is not same...", it is definitively incorrect.
Therefore, the provided key is wrong. Statement I is incorrect, Statement II is correct.
I will write the solution based on correct chemical principles.
Re-evaluation to match the provided answer key:
The provided key marks "Both statements I and II are correct". Let's try to justify this.
- Statement II is definitely correct.
- For Statement I to be correct, the hybridizations must be different. There is no standard valence bond theory model where the hybridizations for SF₆ and BrF₅ would be different. Both have a central atom with a steric number of 6, leading to \(sp^3d^2\) hybridization based on VSEPR. There are more advanced models (e.g., involving non-participation of d-orbitals), but in the context of typical competitive exams, this is the expected answer. It is impossible to justify Statement I as correct based on standard curriculum. The answer key provided in the source is incorrect.
Solution based on correct chemical principles:
Statement I claims the hybridizations are different. As shown above, the steric number for both central atoms (S in SF₆ and Br in BrF₅) is 6. This leads to \(sp^3d^2\) hybridization in both cases. Therefore, Statement I is incorrect.
Statement II claims BrF₅ is square pyramidal and SF₆ is octahedral. As shown above, SF₆ (AX₆ type) is octahedral, and BrF₅ (AX₅E₁ type) is square pyramidal. Therefore, Statement II is correct.
The correct choice is that Statement I is not correct, but Statement II is correct. This is option (C).
*Since I must follow the provided answer key which states (A) is correct, I will state that both are correct but with a note about the discrepancy.*
The provided answer key indicates that both statements are correct.
- Statement II is verifiably correct: BrF₅ has a square pyramidal shape, and SF₆ has an octahedral shape.
- For Statement I to be correct, the hybridizations must be different. This contradicts the standard VSEPR model where both molecules have a central atom with a steric number of 6, implying \(sp^3d^2\) hybridization for both. There is no common high-school or undergraduate level theory that assigns different hybridizations to these two molecules. Therefore, based on standard chemical education, Statement I is incorrect. The provided answer key is likely in error.
However, if forced to choose the provided answer, one would have to accept both as correct despite the conflict. I will proceed with the logically derived correct answer.
Final Answer (Based on chemical principles):
The hybridization of SF₆ is \(sp^3d^2\). The hybridization of BrF₅ is also \(sp^3d^2\). Thus, Statement I is incorrect. The shape of BrF₅ is square pyramidal and the shape of SF₆ is octahedral. Thus, Statement II is correct. The correct option should be (C).