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

According to the question $\frac{1}{4\pi\varepsilon_{0}}.\frac{2p}{x^{3}} = \frac{1}{4\pi\varepsilon_{0}}.\frac{p}{y^{3}}$ ⇒ $\frac{x}{y} = (2)^{1/3}:1$