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Q.

Two point charges  +q and -q  are held fixed at (-d,0) and (d,0) respectively of a (X,Y) coordinate system. Then 

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a

E at all points on the Y- axis is along î

b

Dipole moment is 2qd directed along î

c

Work has to be done in bringing a test charge from infinity to the origin

d

The electric field É  at all points on the X- axis has the same direction

answer is A.

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Detailed Solution

From figure, it is clear that Ê  at all points on the y-axis is along Î . Here Ê of all points on x-axis cannot have the same direction.
Here electric potential at origin is zero so no work is done in bringing a test charge from infinity to origin.
Question Image

Here dipole moment is in – x direction (– q to +q).
Hence only option (a) is correct.

 

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