Among the triatomic molecules/ions, `BeCl_(2), N_(3)^(-), N_(2)O, NO_(2)^(+), O_(3), SCl_(2), ICl_(2)^(-), I_(3)^(-) and XeF_(2)`, the total number of linear molecule (s)/ions(s) where the hybridization of the central atom does not have contribution from the d-orbital (s) is

Explanation

To determine the total number of linear molecules/ions among the given triatomic species where the hybridization of the central atom does not involve d-orbitals, we will analyze each molecule/ion one by one.

### Step-by-Step Solution:

1. **Identify the Molecules/Ions**: The given species are:
- BeCl₂
- N₃⁻
- N₂O
- NO₂⁺
- O₃
- SCl₂
- ICl₂⁻
- I₃⁻
- XeF₂

2. **Analyze Each Species**:
- **BeCl₂**: Beryllium has an oxidation state of +2. It is sp hybridized and linear. **(Linear)**
- **N₃⁻**: The azide ion has a linear structure and is sp hybridized. **(Linear)**
- **N₂O**: The central nitrogen is sp hybridized, leading to a linear structure. **(Linear)**
- **NO₂⁺**: The nitrogen is sp² hybridized, resulting in a bent structure. **(Not Linear)**
- **O₃**: Ozone is sp² hybridized and has a bent structure. **(Not Linear)**
- **SCl₂**: Sulfur is sp³ hybridized, resulting in a bent structure. **(Not Linear)**
- **ICl₂⁻**: The iodine is sp³d hybridized, leading to a linear structure. **(Linear)**
- **I₃⁻**: The iodine in the triiodide ion is linear and sp³d hybridized. **(Linear)**
- **XeF₂**: Xenon is sp³d² hybridized, leading to a linear structure. **(Linear)**

3. **Count the Linear Molecules/Ions**: From the analysis:
- Linear: BeCl₂, N₃⁻, N₂O, ICl₂⁻, I₃⁻, XeF₂
- Not Linear: NO₂⁺, O₃, SCl₂

4. **Determine Contribution from d-Orbitals**: We need to ensure that the hybridization does not involve d-orbitals:
- BeCl₂ (sp) - No d-orbital
- N₃⁻ (sp) - No d-orbital
- N₂O (sp) - No d-orbital
- ICl₂⁻ (sp³d) - Involves d-orbital (not counted)
- I₃⁻ (sp³d) - Involves d-orbital (not counted)
- XeF₂ (sp³d²) - Involves d-orbital (not counted)

5. **Final Count**: The only linear molecules/ions without d-orbital contribution are:
- BeCl₂
- N₃⁻
- N₂O

Thus, the total number of linear molecules/ions where the hybridization of the central atom does not have contributions from the d-orbital is **3**.

### Final Answer:
**3**