An electric dipole is placed at the origin O and is directed along the x-axis. At a point P, far away from the dipole, the electric field is parallel to y-axis. OP makes an angle θ with the x-axis, then
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a
tanθ=3
b
tanθ=2
c
θ=45°
d
tanθ=12
answer is B.
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Detailed Solution
We know that in this case electric field makes an angle θ + a with the direction of dipole. Also, tanα=12tanθ Here, θ+α=90°⇒α=90°-θ Hence tan90°-θ=12tanθ⇒cotθ=12tanθ ⇒ tan2θ=2⇒tanθ=2