Statement 1 : All molecules with polar bonds may not have dipole moments
Statement 2 : Dipole moment is a vectot quantity and bond dipoles may cancel out.

Options

A. (A) Statement-1 is True , Statement-2 is True , Statement-2 is a correct explanation for Statement-6
B. (B) Statement-1 is True , Statement-2 is True , Statement-2 is NOT a correct explanation for Statement-6
C. (C) Statement-1 is True , Statement-2 is False
D. (D) Statement-1 is False , Statement-2 is True

Answer

To analyze the statements provided in the question, we will break down the concepts of polar bonds, dipole moments, and how they relate to each other.

### Step-by-Step Solution:

1. **Understanding Polar Bonds**:
- A polar bond occurs when there is a significant difference in electronegativity between two atoms in a bond. The more electronegative atom attracts the shared electrons more strongly, creating a dipole moment (a separation of charge).
- Example: In a bond between boron (B) and fluorine (F), fluorine is more electronegative than boron, making the B-F bond polar.

**Hint**: Recall that electronegativity differences lead to polar bonds.

2. **Defining Dipole Moment**:
- The dipole moment is a measure of the separation of positive and negative charges in a molecule. It is a vector quantity, meaning it has both magnitude and direction.
- The overall dipole moment of a molecule depends on the vector sum of all individual bond dipoles.

**Hint**: Remember that dipole moments are vectors and can be added or canceled based on their directions.

3. **Analyzing Statement 1**:
- Statement 1 claims that "All molecules with polar bonds may not have dipole moments." This is true because if the individual bond dipoles in a molecule cancel each other out due to their arrangement, the molecule can have no net dipole moment.
- Example: In the molecule BF3 (boron trifluoride), although each B-F bond is polar, the symmetrical trigonal planar shape causes the dipole moments to cancel out, resulting in a net dipole moment of zero.

**Hint**: Consider molecular geometry when determining if dipole moments cancel.

4. **Analyzing Statement 2**:
- Statement 2 states that "Dipole moment is a vector quantity and bond dipoles may cancel out." This is also true, as it explains how the vector nature of dipole moments allows for cancellation.
- In BF3, the bond dipoles point towards the fluorine atoms, but due to symmetry, they cancel each other out, leading to a zero dipole moment.

**Hint**: Visualize the arrangement of atoms and the direction of dipole moments to understand cancellation.

5. **Conclusion**:
- Both statements are true. Statement 2 provides a correct explanation for Statement 1. Therefore, the correct answer is that both statements are true, and Statement 2 is the correct explanation for Statement 1.

**Final Answer**: Both statements are true, and Statement 2 is the correct explanation for Statement 1.