Match Column-$I$ with Column-$II$ related to an electric dipole of dipole moment $\vec{p}$ that is placed in a uniform electric field $\overrightarrow{E}$.
Column-$I$ (Angle between $\vec{p}$ and $\vec{E}$)Column-$II$ (Potential energy of the dipole)
$a. 180^{\circ}$$i. -pE$
$b. 120^{\circ}$$ii. pE$
$c. 90^{\circ}$$iii. \frac{1}{2} pE$
$iv. 0$

  • A
    $a-i, b-ii, c-iii$
  • B
    $a-ii, b-iii, c-i$
  • C
    $a-ii, b-i, c-iv$
  • D
    $a-ii, b-iii, c-iv$

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Similar Questions

When three electric dipoles are near each other,they each experience the electric field of the other two,and the three-dipole system has a certain potential energy. The figure below shows three arrangements $(1)$,$(2)$,and $(3)$ in which three electric dipoles are side by side. All three dipoles have the same magnitude of electric dipole moment,and the spacings between adjacent dipoles are identical. If $U_1$,$U_2$,and $U_3$ are potential energies of the arrangements $(1)$,$(2)$,and $(3)$ respectively,then:

What does an electric dipole experience when placed in a non-uniform electric field?

The relation between the intensity of the electric field of an electric dipole at a distance $r$ from its centre on its axis and the distance $r$ is . . . . . . . (where $r \gg 2a$)

$A$ charge is placed on the axis of an electric dipole and experiences a force $F$. If the distance is doubled,what will be the new force?

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: The potential $(V)$ at any axial point, at $2 \ m$ distance $(r)$ from the centre of the dipole of dipole moment vector $\vec{P}$ of magnitude $4 \times 10^{-6} \ C \ m$, is $\pm 9 \times 10^3 \ V$.
(Take $\frac{1}{4 \pi \epsilon_0} = 9 \times 10^9 \ SI$ units)
Reason $R$: $V = \pm \frac{1}{4 \pi \epsilon_0} \frac{P}{r^2}$, where $r$ is the distance of any axial point, situated at $2 \ m$ from the centre of the dipole.
In the light of the above statements, choose the correct answer from the options given below:

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