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Q.

An infinite number of electric charges each equal to 5 nano - coulombs are placed along X - axis at x = 1 cm , x = 2 cm , x = 4 cm , x = 8 cm ..............  and so on.  Then the electric field at x = 0 (14πε0=9×109N−m2/c2)

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a

12×104 N/C

b

24×104 N/C

c

60×104 N/C

d

48×104 N/C

answer is C.

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Detailed Solution

E=14π∈0[q12+q22+q42+..........]×110-4    =5×10−9×9×10910-4×11−14=60×104Nc
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An infinite number of electric charges each equal to 5 nano - coulombs are placed along X - axis at x = 1 cm , x = 2 cm , x = 4 cm , x = 8 cm ..............  and so on.  Then the electric field at x = 0 (14πε0=9×109N−m2/c2)