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Assertion: When two unlike charges are b...

Assertion: When two unlike charges are brought nearer, their electrostatic potentiasl energy decreases.
Reason: All conservative forces act in the direction of decreasing potential energy.

A

If both Assertion and Reason are true but Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

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The correct Answer is:
To analyze the given assertion and reason, we will break down the concepts of electrostatic potential energy and conservative forces step by step. ### Step 1: Understand the Assertion The assertion states that when two unlike charges are brought closer together, their electrostatic potential energy decreases. **Explanation**: - The potential energy (U) between two point charges \( q_1 \) and \( q_2 \) is given by the formula: \[ U = \frac{k \cdot q_1 \cdot q_2}{r} \] where \( k \) is Coulomb's constant and \( r \) is the distance between the charges. - For unlike charges (one positive and one negative), \( q_1 \cdot q_2 < 0 \). Therefore, as \( r \) decreases (the charges come closer), the absolute value of \( U \) becomes larger but remains negative, indicating that the potential energy decreases. ### Step 2: Understand the Reason The reason states that all conservative forces act in the direction of decreasing potential energy. **Explanation**: - A conservative force is defined as a force where the work done is independent of the path taken and depends only on the initial and final positions. - The work done by conservative forces results in a change in potential energy. Therefore, as an object moves in the direction of the force, the potential energy decreases. ### Step 3: Analyze the Relationship Now, we need to determine if the reason correctly explains the assertion. - The assertion is true: when two unlike charges are brought closer, their potential energy decreases. - The reason is also true: conservative forces act in the direction of decreasing potential energy. - However, the reason does not specifically explain why the potential energy decreases when unlike charges are brought closer. It is a general statement about conservative forces, not directly related to the behavior of electrostatic potential energy in this context. ### Conclusion - The assertion is true. - The reason is true, but it does not serve as a correct explanation for the assertion. Thus, the correct answer is that both the assertion and reason are true, but the reason is not a correct explanation for the assertion. ### Final Answer **Assertion**: True **Reason**: True **Explanation**: The reason does not specifically explain the assertion. ---

To analyze the given assertion and reason, we will break down the concepts of electrostatic potential energy and conservative forces step by step. ### Step 1: Understand the Assertion The assertion states that when two unlike charges are brought closer together, their electrostatic potential energy decreases. **Explanation**: - The potential energy (U) between two point charges \( q_1 \) and \( q_2 \) is given by the formula: \[ ...
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