MHT CET · Physics · Electrostatics
If the magnitude of intensity of electric field at a distance ' \(\mathrm{r}_1\) ' on an axial line and at a distance ' \(r_2\) ' on an equatorial line due to a given short dipole are equal, then \(r_1: r_2\), is
- A \(\sqrt[3]{2}: 1\)
- B \(\sqrt{2}: 1\)
- C \(1: 2\)
- D \(1: \sqrt[3]{2}\)
Answer & Solution
Correct Answer
(A) \(\sqrt[3]{2}: 1\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & E_{\text {axial }}=E_{\text {equatorial }} \Rightarrow k \frac{2 p}{r_1^3}=\frac{k p}{r_2^3} \\ & \Rightarrow \frac{r_1}{r_2}=\frac{2^{1 / 3}}{1}=\sqrt[3]{2}: 1\end{aligned}\)
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