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NCERT · Class 12 · Physics · Electric Charges and FieldsThe ratio of electric field intensity at a distance $r$ on the axial line to that on the equatorial line for a short electric dipole is:

Step-by-Step Solution

For a short electric dipole, electric field on the axial line is $E_{\text{axial}} = \frac{1}{4\pi\epsilon_0} \frac{2p}{r^3}$ and on the equatorial line is $E_{\text{equatorial}} = \frac{1}{4\pi\epsilon_0} \frac{p}{r^3}$.\nTherefore, $\frac{E_{\text{axial}}}{E_{\text{equatorial}}} = \frac{2}{1} = 2 : 1$.

Detailed Options Breakdown
Option : $2 : 1$ (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 1: $1 : 2$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electric Charges and Fields.

Option 2: $4 : 1$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electric Charges and Fields.

Option 3: $1 : 1$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electric Charges and Fields.

💡 Study Guide: This question tests core syllabus concepts from Electric Charges and Fields. For formulas, key summaries, and mock exam reference guides, read the full Electric Charges and Fields Revision Notes.
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