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Question:

Among the triatomic molecules/ions BeCl₂ , N₃⁻, N₂O, NO₂⁺, O₃, SCl₂, ICl₂⁻, I₃⁻ and XeF₂, the total number of linear molecule(s)/ion(s) where the hybridization of the central atom does not have contribution from the d-orbital(s) is [Atomic number: S=16, Cl=17, I=53 and Xe=54]

Solution:

Among the triatomic molecules/ions, BeCl₂, N₃⁻, N₂O, NO₂⁺, O₃, SCl₂, ICl₂⁻, I₃⁻ and XeF₂, the total number of linear molecule(s)/ion(s) where the hybridization of the central atom does not have contribution from the d-orbital(s) is 4.
These include BeCl₂, N₃⁻, N₂O, NO₂⁺.
In the remaining molecules/ions, O₃ is bent, SCl₂ is V-shaped with sp³ hybridization, ICl₂⁻, I₃⁻ and XeF₂ are linear with sp³d hybridization.