A) 1 : 1
B) 2 : 1
C) 4 : 1
D) 1 : 4
Correct Answer: B
Solution :
The electric field on the axis of a dipole of length small compared to point where electric field is to be determined is \[{{E}_{A}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{2p}{{{r}^{3}}}\] ...(i)
where p is electric dipole moment. Intensity at a point on the equatorial line of a dipole is \[{{E}_{E}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{p}{{{r}^{3}}}N/C\] ?.. (ii) 
From Eqs. (i) and (ii), we get \[\frac{{{E}_{A}}}{{{E}_{E}}}=\frac{2p}{{{r}^{3}}}\times \frac{{{r}^{3}}}{p}=\frac{2}{1}\]
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