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Assertion: A point charge is brought in...

Assertion: A point charge is brought in an electric field. The field at a nearby point will increase, whatever be the nature of the charge.
Reason: The electric field is independent of the nature of charge.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion

B

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

C

If Assertion is true but Reason is false

D

If both Assertion and Reason are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that when a point charge is brought into an electric field, the field at a nearby point will increase, regardless of the nature of the charge (positive or negative). - To evaluate this, we consider a positive charge placed in an external electric field \(E_1\). The positive charge will create its own electric field \(E_2\) in the surrounding space. 2. **Analyzing the Electric Field**: - The total electric field at a point near the positive charge will be the vector sum of the external electric field \(E_1\) and the electric field due to the positive charge \(E_2\). - In the direction of the external field, the total electric field will be \(E_1 + E_2\) (increasing). - In the opposite direction, the total electric field will be \(E_1 - E_2\) (which could decrease if \(E_1\) is smaller than \(E_2\)). - Therefore, the assertion is incorrect because the electric field does not uniformly increase at all nearby points. 3. **Understanding the Reason**: - The reason states that the electric field is independent of the nature of the charge. - This means that the effect of the charge (positive or negative) does not influence the total electric field produced. - However, when we analyze the scenario with a negative charge, we find that the electric field contributions differ based on the nature of the charge. - For a negative charge, the electric field at a point in the direction of the external field will be \(E_1 - E_2\) and in the opposite direction will be \(E_1 + E_2\). - This shows that the total electric field indeed depends on the nature of the charge, making the reason incorrect. 4. **Conclusion**: - Since both the assertion and the reason are incorrect, the final answer is that both the assertion and the reason are false. ### Final Answer: Both the assertion and the reason are false.
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