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A : A finite size charged body may behav...

A : A finite size charged body may behave like a point charge if it produces an inverse square electric field.
R : Two charged bodies may be considered as point charges if their distance of separation is very large compared to their dimensions.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are false statements, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze the assertion (A) and the reason (R) separately and determine their correctness. ### Step 1: Analyze the Assertion (A) The assertion states: "A finite size charged body may behave like a point charge if it produces an inverse square electric field." - A point charge produces an electric field that follows the inverse square law, given by the formula: \[ E = \frac{kQ}{r^2} \] where \(E\) is the electric field, \(Q\) is the charge, \(r\) is the distance from the charge, and \(k\) is Coulomb's constant. - If a finite-sized charged body produces an electric field that also follows this inverse square law at a distance \(r\) from it, we can treat this body as if it were a point charge with total charge \(Q\). Thus, the assertion is correct. ### Step 2: Analyze the Reason (R) The reason states: "Two charged bodies may be considered as point charges if their distance of separation is very large compared to their dimensions." - When two charged bodies are separated by a distance \(R\) that is much larger than their respective dimensions (let's denote their dimensions as \(d_1\) and \(d_2\)), the electric field produced by each body at the location of the other can be approximated as uniform over the dimensions of the bodies. - This means that the effects of the finite sizes of the bodies can be neglected, and they can be treated as point charges. Hence, the reason is also correct. ### Step 3: Conclusion Both the assertion (A) and the reason (R) are true. However, the reason does not provide a direct explanation for the assertion. The assertion discusses the behavior of a single charged body, while the reason discusses the relationship between two charged bodies. Thus, the final answer is: - Statement 1 (A) is true. - Statement 2 (R) is true. - However, statement 2 is not the correct explanation of statement 1. ### Final Answer The correct option is: **B** - Statement 1 is true and statement 2 is true, but statement 2 is not the correct explanation of statement 1. ---
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