Which of the following statements are not true?

Options

A. All charges at rest tend to move from higher electric potential to lower electric potential
B. All charges at rest tend to move from lower electric potential to higher electrical potential
C. Positive charges at rest tend to move from lower electric potential to higher electric potential and negative charges at rest tend to move from higher electric potential to lower electric potential
D. Positive charges at rest tend to move from higher potential to lower potential and negative charges at rest tend to move from lower electric potential to higher potential.

Answer

To determine which statements are not true regarding the movement of charges in an electric field, we can analyze the behavior of positive and negative charges in relation to electric potential.

### Step-by-Step Solution:

1. **Understanding Electric Potential**:
- Electric potential is a measure of the potential energy per unit charge at a point in an electric field. Charges will move in response to differences in electric potential.

2. **Movement of Positive Charges**:
- Positive charges tend to move from areas of higher electric potential to areas of lower electric potential. This is because they are attracted to regions where they have lower potential energy.

3. **Movement of Negative Charges**:
- Negative charges, on the other hand, tend to move from areas of lower electric potential to areas of higher electric potential. This is because they are attracted to regions of higher potential energy.

4. **Analyzing the Statements**:
- **Statement A**: "All charges at rest tend to move from higher electric potential to lower electric potential."
- This statement is not true because it does not consider the behavior of negative charges.
- **Statement B**: "All charges at rest tend to move from lower electric potential to higher electric potential."
- This statement is also not true as it contradicts the behavior of positive charges.
- **Statement C**: "Positive charges at rest tend to move from lower to higher electric potential."
- This statement is not true because positive charges move from higher to lower potential.
- **Statement D**: "Positive charges at rest tend to move from higher to lower potential."
- This statement is true.
- **Statement E**: "Negative charges at rest tend to move from lower electric potential to higher potential."
- This statement is true.

5. **Conclusion**:
- The statements that are not true are A, B, and C.

### Final Answer:
The statements that are not true are A, B, and C.