Q.

Charges -q and +q located at A and B, respectively, constitute an electric dipole. Distance AB = 2aO is the mid point of the dipole and OP is perpendicular to AB. A charge Q is placed at P where OP = y and y >> 2a. The charge Q experiences an electrostatic force F. If Q is now moved along the equatorial line to P' such that the OP'=y3, force on Q will be close to y3>>2a

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a

27 F

b

3F

c

F3

d

27F

answer is A.

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Detailed Solution

Electric field due to dipole on equatorial plane,

E=-kPr3

At point PFP=-kPy3Q                          ...i 

At point P'FP'=-kPy/33Q              ...ii 

From equation (i) and (ii),

FP'=27FP=27 F

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Charges -q and +q located at A and B, respectively, constitute an electric dipole. Distance AB = 2a, O is the mid point of the dipole and OP is perpendicular to AB. A charge Q is placed at P where OP = y and y >> 2a. The charge Q experiences an electrostatic force F. If Q is now moved along the equatorial line to P' such that the OP'=y3, force on Q will be close to y3>>2a