Q69 / 90 · JEE Main 2019 (10 Jan Shift 2) · Physics

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 OP'=y3 the force on Q will be close toy3≪2a
Figure

  • Correct answer
    A
    27F.
  • B
    F3.
  • C
    3F.
  • D
    9F.

Solution

Electric field intensity at the distance y along the perpendicular bisector is

E1=KPy3

So, force at distance y on Q,

F=Q(E1)=QKPy3 ...(1)

F'=QKPy33 ...(2)

Dividing 1 by 2, we get,

F'F=33

∴ F'=27F

Hence, the correct answer is option: 'A'.

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