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Q.

A charge +q is fixed at each of the points x=x0x=3x0,x=5x0……∞ on the x - axis and a charge-q is fixed at each of the points x=2x0,x=4x0,x=6x0……∞. Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Q4π∈0r. Then the potential at the origin due to the above system of charges is

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a

0

b

q8π∈0x0loge⁡(2)

c

d

qloge⁡(2)4π∈0x0

answer is D.

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Detailed Solution

V=q4π∈01x0−12x0+13x0−14x0+−−−=q4π∈0x01−12+13−14+−−−=q4π∈0x0log⁡(2)
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