The correct order of increasing bond length of C - H ,C - O, C - C and C = C is

Options

A. C - H `lt` C - O `lt` C - C `lt ` C = C
B. C - H `lt` C = C `lt` C - O `lt` C - C
C. C - C `lt` C = C `lt ` C - O `lt ` C - H
D. C - O `lt` C - H `lt` C - C `lt` C = C

Answer

To determine the correct order of increasing bond length for the bonds C-H, C-O, C-C, and C=C, we can follow these steps:

### Step 1: Understand Bond Length
Bond length is defined as the distance between the nuclei of two bonded atoms. Generally, bond length is influenced by the size of the atoms involved and the type of bond (single, double, or triple).

### Step 2: Compare Atomic Sizes
- Hydrogen (H) is smaller than Carbon (C).
- Oxygen (O) is larger than Carbon (C).
- Therefore, the order of atomic sizes is: H < C < O.

### Step 3: Analyze the Types of Bonds
- C-H is a single bond.
- C-C is also a single bond.
- C-O is a single bond.
- C=C is a double bond.

### Step 4: General Trends in Bond Length
- Single bonds (C-H, C-C, C-O) are generally longer than double bonds (C=C).
- As the size of the atoms increases, the bond length also increases.

### Step 5: Compare the Bonds
1. **C-H bond**: This bond is between a small hydrogen atom and a carbon atom, resulting in a relatively short bond length.
2. **C=C bond**: This bond is shorter than single bonds due to the increased overlap of orbitals, making it stronger and shorter.
3. **C-C bond**: This bond is longer than C-H and C=C because it involves two carbon atoms.
4. **C-O bond**: This bond is longer than C-C because oxygen is larger than carbon.

### Step 6: Order the Bonds by Length
Based on the analysis:
- C-H < C=C < C-C < C-O

### Conclusion
The correct order of increasing bond length is:
**C-H < C=C < C-C < C-O**