The concept of hybridisation has been introduced to explain the shapes of molecules. It involves the intermixing of two or more atomic orbitals belonging to same atom but in or more atomic orbitals belonging to same atom but in different sub-shells so as to intermix and redistribute energies to from equivalent orbitals called hybrid orbitals. Depending upon total number and nature of the orbitals involved, the hybridisation may be divided into sp (linear), `sp^(2)` (trigonal), `sp^(3)` (tetrahedral), `sp^(3)d` (trigonal bipyramidal), `sp^(3)d^(3)` (octahedral) and `sp^(3)d^(3)` (pentagonal bipyramidal) types. it may be noted that the orbitals of isolated atoms never hybridize and they do so at the time of bond formation.
A hybrid orbital from s-and p-orbitals can contribute to

Options

A. `sigma`-bond only
B. `pi`-bond only
C. either `sigma or pi`-bond
D. cannot be predicted.

Explanation

To solve the question regarding the contribution of hybrid orbitals formed from the combination of s and p orbitals, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Hybridization**:
- Hybridization is the process where atomic orbitals mix to form new hybrid orbitals. This process occurs when atoms bond together, allowing them to adopt shapes that minimize repulsion between electrons.

2. **Identifying the Orbitals**:
- In this case, we are focusing on the s and p orbitals of the same atom. The s orbital is spherical, while p orbitals are dumbbell-shaped and oriented along specific axes (x, y, z).

3. **Combining s and p Orbitals**:
- When an s orbital combines with a p orbital, they undergo hybridization. For example, when one s orbital and one p orbital hybridize, they form two equivalent hybrid orbitals.

4. **Type of Overlapping**:
- The combination of s and p orbitals leads to head-to-head overlapping. This type of overlap is crucial for the formation of sigma (σ) bonds.

5. **Formation of Sigma Bonds**:
- A sigma bond is formed when two atomic orbitals (in this case, one s and one p) overlap axially (head-on). This bond allows for free rotation around the bond axis, which is characteristic of sigma bonds.

6. **Conclusion**:
- Therefore, the hybrid orbital formed from the combination of s and p orbitals contributes to the formation of sigma bonds in molecules.

### Final Answer:
A hybrid orbital formed from s and p orbitals can contribute to the formation of sigma (σ) bonds.