Charges \( -q \) and \( +q \) located at \( A \) and \( B \), respe...

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Charges \( -q \) and \( +q \) located at \( A \) and \( B \), respectively, constitute an electric dipole. Distance \( \mathrm{AB}=2 \mathrm{a}, \mathrm{O} \) is the mid point of the dipole and \( \mathrm{OP} \) is perpendicular to \( \mathrm{AB} \). A charge \( Q \) is placed at \( P \) where \( O P=y \) and \( y \gg 2 a \). the
P charge \( Q \) experiences an electrostatic force \( F \). If \( Q \) is

W now moved along the equatorial line to \( \mathrm{P}^{\prime} \) such that \( \mathrm{OP}^{\prime}=\left(\frac{\mathrm{y}}{3}\right) \), the force on \( \mathrm{Q} \) will be close to \( \left(\frac{\mathrm{y}}{2} \gg2 \mathrm{a}\right) \)
[JEE Main -2019 (January)]
(1) \( 3 \mathrm{~F} \)
(2) \( \frac{F}{3} \)
(3) \( 9 \mathrm{~F} \)
(4) \( 27 \mathrm{~F} \)
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