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Infinite number of charges each of magnitude 2C are placed on x-axis at 1m, 2m, 4m, ..... from origin along +ve x-axis. The first charge is positive and alternate charges are of opposite in nature. The electric field intensity at the origin

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$\frac{2}{5 π \in_{0}} a l o n g - v e x - a x i s$

$\frac{1}{π \in_{0}} a l o n g + v e x - a x i s$

$\frac{1}{π \in_{0}} a l o n g - v e x - a x i s$

$\frac{1}{10 π \in_{0}} a l o n g + v e x - a x i s$

answer is B.

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Detailed Solution

$E = \frac{2}{4 π \in_{0}} [\frac{1}{1 + \frac{1}{4}}] = \frac{2}{4 π \in_{0}} \times \frac{4}{5} = \frac{2}{5 π \in_{0}}$

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