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 $