Which pair (s) has some bond angle ? (a) `BF_(3),BCl_(3)` (b) `PO_(4)^(-3),SO_(4)^(-2)` ( c) `BF_(3),PF_(3)`
(d) `NO_(2)^(+),N_(2)O` (e) `N_(3)^(-),NO_(2)`
correct option are -

Options

A. a,b,d
B. b,d
C. b,c,d
D. a,d,e

Answer

To determine which pairs of molecules have the same bond angle, we need to analyze the hybridization and geometry of each molecule in the given options. Let's go through each option step by step.

### Step 1: Analyze Option (a) `BF3, BCl3`
1. **Hybridization of BF3**:
- BF3 has a trigonal planar geometry with sp² hybridization.
- The bond angle is 120°.

2. **Hybridization of BCl3**:
- BCl3 also has a trigonal planar geometry with sp² hybridization.
- The bond angle is also 120°.

**Conclusion**: Both BF3 and BCl3 have the same bond angle of 120°.

### Step 2: Analyze Option (b) `PO4^(-3), SO4^(2-)`
1. **Hybridization of PO4^(-3)**:
- PO4^(-3) has a tetrahedral geometry with sp³ hybridization.
- The bond angle is approximately 109.5°.

2. **Hybridization of SO4^(2-)**:
- SO4^(2-) also has a tetrahedral geometry with sp³ hybridization.
- The bond angle is also approximately 109.5°.

**Conclusion**: Both PO4^(-3) and SO4^(2-) have the same bond angle of approximately 109.5°.

### Step 3: Analyze Option (c) `BF3, PF3`
1. **Hybridization of BF3**:
- As established, BF3 has sp² hybridization and a bond angle of 120°.

2. **Hybridization of PF3**:
- PF3 has a trigonal pyramidal geometry due to the presence of a lone pair on phosphorus, which leads to sp³ hybridization.
- The bond angle is less than 109.5°.

**Conclusion**: BF3 and PF3 do not have the same bond angle.

### Step 4: Analyze Option (d) `NO2^(+), N2O`
1. **Hybridization of NO2^(+)**:
- NO2^(+) has sp hybridization and a linear geometry.
- The bond angle is 180°.

2. **Hybridization of N2O**:
- N2O has a linear structure as well, with sp hybridization.
- The bond angle is also 180°.

**Conclusion**: Both NO2^(+) and N2O have the same bond angle of 180°.

### Step 5: Analyze Option (e) `N3^(-), NO2`
1. **Hybridization of N3^(-)**:
- N3^(-) has a linear structure with sp hybridization.
- The bond angle is 180°.

2. **Hybridization of NO2**:
- NO2 has sp² hybridization due to the presence of a lone pair on nitrogen.
- The bond angle is approximately 120°.

**Conclusion**: N3^(-) and NO2 do not have the same bond angle.

### Final Conclusion
The pairs that have the same bond angles are:
- **Option (a)**: `BF3, BCl3` (120°)
- **Option (b)**: `PO4^(-3), SO4^(2-)` (approximately 109.5°)
- **Option (d)**: `NO2^(+), N2O` (180°)

Thus, the correct options are **(a), (b), and (d)**.