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Q.

A two point charges 4q and  − q are fixed on the x-axis at  x=−d2 and  x=d2, respectively. If a third point charge ‘q’ is taken from the origin to x = d along the semicircle as shown in the figure, the energy of the charge will :

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a

increase by 3q24π∈0d

b

decrease by  q24π∈0d

c

decrease by 4q23π∈0d

d

increase by  2q23π∈0d

answer is C.

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Detailed Solution

The change is only due to 4qCharge q distance from  "−q" is not changing.So Δ U=4qq4π∈013d/2−1d/2 =−4q23π∈0d
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