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  • 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 -O

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 -

Option: 1

1: 1


Option: 2

1: \sqrt{2}


Option: 3

1: 2


Option: 4

\sqrt[3]{2}: 1


Answers (1)

\mathrm{\text { An equatisial line } E_q=E_e }
\mathrm{\begin{aligned} \frac{1}{4 \pi t_0} \frac{2 p}{x^3} & =\frac{1}{4 \pi t_0} \frac{p}{y^3} \\ \frac{x^3}{y^3} & =\frac{2}{1} \\ \left(\frac{x}{y}\right)^3 & =\frac{2}{1} \\ \frac{x}{y} & =\sqrt[3]{\frac{2}{1}} \Rightarrow x: y=\sqrt[3]{2}: 1 \text { Ans } \end{aligned} }

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Kshitij

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