The linear structure is possessed by

Options

A. `SnCl_(2)`
B. `CS_(2)`
C. `NO_(2)^(+)`
D. `SF_(2)`

Explanation

To determine which of the given compounds possesses a linear structure, we will analyze each option step by step, focusing on their hybridization and molecular geometry.

### Step 1: Analyze Cl2 (Chlorine gas)
- **Hybridization**: Chlorine is a diatomic molecule (Cl2). Each chlorine atom has 7 valence electrons, and they share one pair of electrons to form a single bond. Since there are no lone pairs on the central atom, it can be considered as having sp hybridization.
- **Structure**: The structure of Cl2 is simply a straight line between the two chlorine atoms. However, since there are no central atoms with lone pairs, it can be considered linear.

### Step 2: Analyze SnCl2 (Tin(II) chloride)
- **Hybridization**: Tin (Sn) has 4 valence electrons. For SnCl2, there are 2 chlorine atoms (monovalent), so the formula for hybridization is:
\[ \text{Hybridization} = \frac{(4 + 2)}{2} = 3 \]
This indicates sp² hybridization.
- **Structure**: SnCl2 has 2 bond pairs and 1 lone pair, leading to a bent shape (not linear).

### Step 3: Analyze CS2 (Carbon disulfide)
- **Hybridization**: Carbon (C) has 4 valence electrons. In CS2, sulfur is divalent, so we can calculate:
\[ \text{Hybridization} = \frac{(4 + 0)}{2} = 2 \]
This indicates sp hybridization.
- **Structure**: The structure of CS2 is linear, with carbon in the center and double bonds to each sulfur atom (C=S=S).

### Step 4: Analyze NO2+ (Nitronium ion)
- **Hybridization**: Nitrogen (N) has 5 valence electrons. The positive charge indicates one less electron:
\[ \text{Hybridization} = \frac{(5 - 1)}{2} = 2 \]
This indicates sp hybridization.
- **Structure**: The NO2+ ion has a linear structure due to the presence of two double bonds and no lone pairs on nitrogen.

### Step 5: Analyze SF2 (Sulfur difluoride)
- **Hybridization**: Sulfur (S) has 6 valence electrons. For SF2:
\[ \text{Hybridization} = \frac{(6 + 2)}{2} = 4 \]
This indicates sp³ hybridization.
- **Structure**: SF2 has 2 bond pairs and 2 lone pairs, resulting in a bent shape (not linear).

### Conclusion:
From the analysis, the compounds with linear structures are:
- CS2 (Carbon disulfide)
- NO2+ (Nitronium ion)

### Final Answer:
The linear structure is possessed by **CS2 and NO2+**.