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, $4 imes10^{-6}$ C m, is $\pm9 imes10^3$ V. (Take $\frac{1}{4\pi\epsilon_0}=9 imes10^9$ SI units) Reason R: $V=\pm\frac{2P}{4\pi\epsilon_0r^2}$, 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:

Question

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, $4	imes10^{-6}$ C m, is $\pm9	imes10^3$ V. (Take $\frac{1}{4\pi\epsilon_0}=9	imes10^9$ SI units) Reason R: $V=\pm\frac{2P}{4\pi\epsilon_0r^2}$, 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:

Dr. Abubacker · Accepted Answer

[Solution by Claude - not from source] Axial potential is $V=\pm\frac{P}{4\pi\epsilon_0r^2}=9	imes10^9	imes\frac{4	imes10^{-6}}{4}=9	imes10^3$ V, so A is true. The factor 2 in R belongs to the axial field, not the potential, so R is false. Answer (1).

Explanation

Reviewed by Dr. Abubacker

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