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 $2 \mathrm{~m}$ distance ( $r$ ) from the centre of the dipole of dipole moment vector $\vec{P}$ of magnitude, $4 \times 10^{-6} \mathrm{C} \mathrm{m}$, is $\pm 9 \times 10^3 \mathrm{~V}$.

(Take $\frac{1}{4 \pi \in_0}=9 \times 10^9 \mathrm{Sl}$ units)

Reason $R$: $V= \pm \frac{2 P}{4 \pi \in_0 r^2}$, where $r$ is the distance of any axial point, situated at $2 \mathrm{~m}$ from the centre of the dipole.

In the light of the above statements, choose the correct answer from the options given below:

  • ABoth $A$ and $R$ are true and $R$ is $NOT$ the correct explanation of $A$.
  • B$A$ is true but $R$ is false.
  • C$A$ is false but $R$ is true.
  • DBoth $A$ and $R$ are true and $R$ is the correct explanation of $A$.
NEET 2024, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A solid sphere of radius $R$ carries a charge $(Q+q)$ distributed uniformly over its volume. A very small point like piece of it of mass $m$ gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries charge $q.$ If it acquires a speed $v$ when it has fallen through a vertical height $y$ (see figure), then :

    (assume the remaining portion to be spherical).

    View Solution
  • 2
    Four point charges $-Q, -q, 2q$ and $2Q$ are placed, one at each comer of the square. The relation between $Q$ and $q$ for which the potential at the centre of the square is zero is
    View Solution
  • 3
    Two capacitors of capacities ${C_1}$ and ${C_2}$ are charged to voltages ${V_1}$ and ${V_2}$ respectively. There will be no exchange of energy in connecting them in parallel, if
    View Solution
  • 4
    A proton and an anti-proton come close to each other in vacuum such that the distance between them is $10 \,cm$. Consider the potential energy to be zero at infinity. The velocity at this distance will be ........... $\,m / s$
    View Solution
  • 5
    In the circuit shown, $q_2$ and $q_3$ are respectively (Initially all capacitors are uncharged)
    View Solution
  • 6
    Charge of $2Q$ and $-Q$ are placed on two plates of a parallel plate capacitor. If capacitance of capacitor is $C$, potential difference between the plates is
    View Solution
  • 7
    Charge $Q$ is given a displacement $\vec r = a\hat i + b\hat j$ in an electric field $\vec E = E_1\hat i + E_2\hat j$ . The work done is
    View Solution
  • 8
    A charged capacitor is allowed to discharge through a resistance $2\,\Omega $ by closing the switch $S $ at the instant $t = 0$. At time $t = ln$ $2$ $\mu s$, the reading of the ammeter falls half of its initial value. The resistance of the ammeter equal to
    View Solution
  • 9
    Three capacitors of capacity ${C_1},\;{C_2}\;{C_3}$ are connected in series. Their total capacity will be
    View Solution
  • 10
    A simple pendulum of length $L$ is placed between the plates of a parallel plate capacitor having electric field $E,$ as shown in figure. Its bob has mass $m$ and charge $q.$ the time period of the pendulum is given by
    View Solution