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JEE PHYSICS MCQ: ELECTRIC FIELDS AND CHARGES

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A point charge qq is placed at origin. Let E→A,E→B\overrightarrow{\mathrm{E}}_{\mathrm{A}}, \overrightarrow{\mathrm{E}}_{\mathrm{B}} and E→C\overrightarrow{\mathrm{E}}_{\mathrm{C}} be the electric field at three points A(1,2,3),B(1,1,−1)\mathrm{A}(1,2,3), \mathrm{B}(1,1,-1) and C(2,2,2)\mathrm{C}(2,2,2) due to charge q. Then
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Correct option: C
∣E→B∣=4∣E→C∣\left|\overrightarrow{\mathrm{E}}_{\mathrm{B}}\right|=4\left|\overrightarrow{\mathrm{E}}_{\mathrm{C}}\right|
Option D (∣E→B∣=4∣E→C∣\left|\overrightarrow{\mathrm{E}}_{\mathrm{B}}\right|=4\left|\overrightarrow{\mathrm{E}}_{\mathrm{C}}\right|) is correct because the electric field magnitude is inversely proportional to the square of the distance from the charge.

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