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

Correct answer: B. A is true but R is false. The potential V at any point, at distance r from centre of dipole =(K P θ)/(r^2) At axial point where θ=0^ , V=(K P)/(r^2)= 9 × 10^9 × 4 × 10^ -6 2^2 =9 × 10^3 ~V At axial point where θ=180^ , V=(-K P)/(r^2)=-9 × 10^3 ~V

NEET 2024

Exam: NEET
Year: 2024
Subject: Physics
Chapter: Electrostatics

NEET 2024 · Physics · Electrostatics

Given below are two statements: one is labelled as Assertion A and...

Given below are two statements: one is labelled as Assertion

\mathbf{A}

and the other is labelled as Reason

\mathbf{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} \mathrm{C} \mathrm{m}

, is

\pm 9 \times 10^3 \mathrm{~V}

. (Take

\frac{1}{4 \pi \epsilon_0}=9 \times 10^9

SI units) Reason

\mathbf{R}

V= \pm \frac{2 P}{4 \pi \epsilon_0 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:

Options

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 $A$ .

Correct answer

B. $A$ is true but $R$ is false.

Step-by-step solution

The potential

V

at any point, at distance

r

from centre of dipole

=\frac{K P \cos \theta}{r^2}

At axial point where

\theta=0^{\circ}, V=\frac{K P}{r^2}=\frac{9 \times 10^9 \times 4 \times 10^{-6}}{2^2}=9 \times 10^3 \mathrm{~V}

At axial point where

\theta=180^{\circ}, V=\frac{-K P}{r^2}=-9 \times 10^3 \mathrm{~V}

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