To determine the types of charges at points X and Y based on the electric field diagram, we need to analyze the behavior of electric fields created by point charges. ### Step-by-Step Explanation 1. **Understanding Electric Fields**: - An electric field is a region around a charged object where other charged objects experience a force. The direction of the electric field lines indicates the direction a positive test charge would move. - Electric field lines originate from positive charges and terminate on negative charges. 2. **Analyzing the Diagram**: - In the provided diagram, we would typically see electric field lines emanating from one charge and converging towards another. The direction of these lines is crucial for determining the nature of the charges. - If the electric field lines are pointing away from both points X and Y, it indicates that both charges are of the same type (either both positive or both negative). If the lines are pointing towards one charge and away from the other, it indicates that one charge is positive and the other is negative. 3. **Determining the Charges**: - If the electric field lines are directed outward from both X and Y, this suggests that both charges are repelling each other, which can only happen if both are positive or both are negative. - If the lines are directed towards one charge and away from the other, it indicates that one charge is positive (the one from which the lines are emanating) and the other is negative (the one towards which the lines are converging). 4. **Evaluating the Options**: - **Option A (Both X and Y are negative)**: This is incorrect because if both were negative, the electric field lines would not point away from both charges; they would instead repel each other. - **Option B (Both X and Y are positive)**: This is a possible correct answer if the lines are indeed emanating from both charges, indicating they are both positive. - **Option C (X is positive and Y is negative)**: This is incorrect if the lines are not converging towards Y and diverging from X. - **Option D (X is negative and Y is positive)**: This is also incorrect for the same reason as option C. ### Conclusion Given the analysis of the electric field lines, the correct answer is **B. Both X and Y are positive**. This is because the electric field lines are emanating from both charges, indicating that they are both positive and repelling each other. ### Revision Summary - Electric field lines point away from positive charges and towards negative charges. - The direction of electric field lines helps determine the nature of the charges. - If lines are directed outward from both charges, both are likely positive. - If lines converge towards one charge, that charge is negative, and the other is positive. This understanding of electric fields is crucial for solving problems related to electrostatics and charge interactions in physics.