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Which of the following is/are correct? ...

Which of the following is/are correct?
I Magnitude of electric field at a point decreases inversely as square of distance of that point &om the charge.
II E is strong near the charge.

A

I and II both are correct

B

I and II both are Incorrect

C

I Is correct and II Is Incorrect

D

Is Incorrect and 11 is correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements regarding the electric field produced by a point charge. ### Step-by-Step Solution: 1. **Understanding Electric Field (E)**: The electric field (E) created by a point charge (Q) at a distance (r) from the charge is given by the formula: \[ E = \frac{1}{4\pi \epsilon_0} \cdot \frac{Q}{r^2} \] where \(\epsilon_0\) is the permittivity of free space. 2. **Analyzing Statement I**: The first statement claims that the magnitude of the electric field at a point decreases inversely as the square of the distance from the charge. - From the formula, we see that \(E\) is proportional to \(\frac{1}{r^2}\). - This means as the distance \(r\) increases, the electric field \(E\) decreases, confirming that it decreases inversely with the square of the distance. - **Conclusion**: Statement I is correct. 3. **Analyzing Statement II**: The second statement claims that the electric field (E) is strong near the charge. - Electric field strength is related to the density of electric field lines. Closer to the charge, the lines are denser, indicating a stronger electric field. - As we move away from the charge, the density of the electric field lines decreases, which means the electric field strength also decreases. - **Conclusion**: Statement II is also correct. 4. **Final Conclusion**: Both statements I and II are correct. Therefore, the answer to the question is that both statements are true.
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