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A very short electric dipole of dipole moment $p = 2 x 10^{- 6} Coul - m$ is placed at the origin along the x-axis. A point charge is placed on x-axis at a distance of 10 cm from the origin. Then electric force exerted on the dipole by the point charge is

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68 N

72 N

84 N

104 N

answer is B.

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Detailed Solution

F = Force exerted on the dipole by the point charge = Force exerted by the dipole on the point charge along axial line.

$F = \frac{1}{4 π ε_{0}} \frac{2 p}{r^{3}} . Q = 9 x 10^{9} x \frac{2 x 2 x 10^{- 6}}{{(0.1)}^{3}} x 2 x 10^{- 6} N = 72 N$

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