Electrostatics Question 305

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 [EAMCET 1994]

Options:

A) $ 1:1 $

B) $ 1:\sqrt{2} $

C) $ 1:2 $

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

Show Answer

Answer:

Correct Answer: D

Solution:

$ E _{axial}=E _{equatorial} $

therefore $ k.\frac{2p}{x^{3}}=\frac{k.p}{y^{3}} $

therefore $ \frac{x}{y}=\frac{{{2}^{1/3}}}{1}=\sqrt[3]{2}:1 $



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