Among the following, the species which has the lowest value of bond angle is :

Options

A. `NO_(2)^(-)`
B. `NO_(2)`
C. `NO_(2)^(+)`
D. `N_(2)O`

Explanation

To determine which species has the lowest bond angle among the given options, we will analyze the molecular structures and hybridizations of each species step by step.

### Step 1: Analyze NO2-
1. **Structure**: The structure of NO2- (nitrite ion) consists of a nitrogen atom bonded to two oxygen atoms, one with a double bond and the other with a single bond (which carries a negative charge).
2. **Lone Pairs**: Nitrogen has one lone pair in this structure.
3. **Hybridization**: The steric number (number of sigma bonds + lone pairs) for NO2- is 3 (2 sigma bonds + 1 lone pair), which corresponds to sp2 hybridization.
4. **Bond Angle**: The bond angle in an sp2 hybridized molecule with one lone pair is approximately 114° due to lone pair repulsion.

### Step 2: Analyze NO2
1. **Structure**: The structure of NO2 consists of a nitrogen atom bonded to two oxygen atoms, both with double bonds.
2. **Lone Pairs**: There is one unpaired electron on nitrogen.
3. **Hybridization**: The steric number for NO2 is 2 (2 double bonds, no lone pairs), which corresponds to sp hybridization.
4. **Bond Angle**: The bond angle in NO2 is approximately 116°.

### Step 3: Analyze NO2+
1. **Structure**: The structure of NO2+ (nitronium ion) has a nitrogen atom bonded to two oxygen atoms, both with double bonds, and no lone pairs.
2. **Lone Pairs**: There are no lone pairs on nitrogen.
3. **Hybridization**: The steric number for NO2+ is 2 (2 double bonds, no lone pairs), which corresponds to sp hybridization.
4. **Bond Angle**: The bond angle in NO2+ is 180°.

### Step 4: Analyze N2O
1. **Structure**: The structure of N2O (nitrous oxide) has a nitrogen atom bonded to another nitrogen and an oxygen atom, with a double bond between nitrogen and oxygen.
2. **Lone Pairs**: The terminal nitrogen has a lone pair.
3. **Hybridization**: The steric number for the central nitrogen in N2O is 2 (2 sigma bonds, no lone pairs), which corresponds to sp hybridization.
4. **Bond Angle**: The bond angle in N2O is also approximately 180°.

### Conclusion
After analyzing all the species:
- NO2- has a bond angle of approximately 114°.
- NO2 has a bond angle of approximately 116°.
- NO2+ has a bond angle of 180°.
- N2O has a bond angle of 180°.

The species with the lowest bond angle is **NO2-** with a bond angle of 114°.

### Final Answer
The species which has the lowest value of bond angle is **NO2-** (Option A).