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Q.

An infinite number of charges, each equal to 'Q'  coulomb, are placed along the x-axis at x(in meter)=1,2,4,8....  and so on.  The potential in SI units at x=0  due to this set of charges are respectively 14π∈0   times.

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a

2Q3

b

2Q

c

4Q3

d

4Q

answer is B.

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Detailed Solution

electric potential is V= 14πεoqr here sum of all potentials is V= V1+V2+ ............ V= 14πεo11+ 12 + 14+ 18+.........V= 14πεo11-12  (sum of infinte GP)V=2Q14πεo
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