Question

If the magnitude of intensity of electric field at a distance $x$on axial line and at a distance $y$ on equatorial line on a given dipole are equal, then $x:y$ is

• A. $1:1$
• B. $1:\sqrt{2}$
• C. $1:2$
• D. $\sqrt[3]{2}:1$

Answer 1

Answer: (D)

$\sqrt[3]{2}:1$

Answer 2

$E_{axial} = E_{equatorial}$⇒ $k.\frac{2p}{x^{3}} = \frac{k.p}{y^{3}}$ ⇒ $\frac{x}{y} = \frac{2^{1/3}}{1} = \sqrt[3]{2}:1$