Q.

Two point charges Q  and  −Q/4 placed along the x-axis are separated by a distance r. Take −Q/4 as origin and it is placed at the right of Q. Then the potential is zero.

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a

at x = r/3 only

b

at x=−r/5 only

c

both at x=r/3  and  x=−r/5

d

there exist two points on the axis where the electric field is zero

answer is C.

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Detailed Solution

kQ4x1=kQr+x1  or  r+x1=4x1  or  x1=r3or kQ4x2=kQr−x2  or x2=r5
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Two point charges Q  and  −Q/4 placed along the x-axis are separated by a distance r. Take −Q/4 as origin and it is placed at the right of Q. Then the potential is zero.