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Which of the following statement(s) is/a...

Which of the following statement(s) is/are correct?
I Away from the charge field gets weaker and density of field lines Is less, resulting in well separated lines.
II Only a finite number of lines can be drawn from charge. Choose the correct option.

A

I and II both are correct

B

I and II both are Incorrect

C

I Is correct and II Is Incorrect

D

I Is Incorrect and II Is correct

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the statements is correct, let's analyze each statement step by step. ### Step 1: Analyze Statement I **Statement I:** "Away from the charge, the electric field gets weaker and the density of field lines is less, resulting in well-separated lines." - When we consider an electric charge, the electric field strength decreases as we move away from the charge. This is because the electric field (E) due to a point charge is inversely proportional to the square of the distance (r) from the charge, given by the formula: \[ E = \frac{k \cdot |q|}{r^2} \] where \( k \) is Coulomb's constant and \( q \) is the charge. - As we move further away from the charge, the density of electric field lines (which represents the strength of the electric field) decreases. This means that the lines become more spaced out or well-separated as we move away from the charge. **Conclusion for Statement I:** This statement is correct. ### Step 2: Analyze Statement II **Statement II:** "Only a finite number of lines can be drawn from a charge." - Electric field lines are a conceptual tool used to visualize the electric field around a charge. In theory, an infinite number of lines can be drawn from a point charge. The number of lines drawn is arbitrary and can be increased indefinitely to represent the electric field more accurately. - The idea that only a finite number of lines can be drawn is incorrect because we can always add more lines to represent the field more densely. **Conclusion for Statement II:** This statement is incorrect. ### Final Conclusion - **Statement I is correct.** - **Statement II is incorrect.** ### Correct Option The correct option is that only Statement I is correct. ---
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