Question

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 × 10⁻⁶ cm, is ±9 × 10³ V.

(Take `1/(4 pi epsilon_0)` = 9 × 10⁹ SI units)

Reason (R): V = `+- (2 vec 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:

विकल्प

• A is true but R is false.

• A is false but R is true.

• Both A and R are true and R is the correct explanation of A.

• Both A and R are true and R is NOT the correct explanation of A.

Answer 1

A is true but R is false.

Explanation:

Potential at an axial point due to а dipole:

V = `+-1/(4 pi epsilon_0) P/r^2`

= `+-9 xx 10^9 xx (4 xx 10^-6)/4`

= ±9 × 10³ volt

So, the assertion is true, but the reason is false.