Consider the following statements:

A. The electric potential due to a dipole at its axial point is zero.

B. The electric potential due to a dipole at its equatorial point is zero.

C. The electric potential due to a dipole at its axial point is non-zero.

D. The electric potential due to a dipole at its equatorial point is non-zero.

  1. A and B are true
  2. A and D are true
  3. B and C are true
  4. B and D are true

Answer (Detailed Solution Below)

Option 3 : B and C are true
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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CONCEPT:

  • Electric potential is equal to the amount of work done per unit charge by an external force to move the charge q from infinity to a specific point in an electric field.

  • Potential due to a single charged particle Q at a distance r from it is given by:

Where, 

ϵ0 is the permittivity of free space and has a value of 8.85 × 10-12 F/m in SI units

EXPLANATION:

  • The potential due to a dipole is given by

  • At the axial point, θ is zero, hence cosθ = 1, V is non-zero.
  • At the equatorial point, θ is , hence cosθ = 0, V is zero.
  • Therefore option 3 is correct

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