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JEE Mains · Physics · STD 12 - Electric potential and capacitance
  • JEE Mains 2024
  • Hard
  • MCQ

An electric charge \(10^{-6} \mu \mathrm{C}\) is placed at origin \((0,0)\) \(\mathrm{m}\) of \(\mathrm{X}-\mathrm{Y}\) co-ordinate system. Two points \(\mathrm{P}\) and \(\mathrm{Q}\) are situated at \((\sqrt{3}, \sqrt{3}) \mathrm{m}\) and \((\sqrt{6}, 0) \mathrm{m}\) respectively. The potential difference between the points \(P\) and \(Q\) will be :

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Answer & Solution

Correct Answer

(C)  \(0 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

Potential difference \(=\frac{K Q}{r_1}-\frac{K Q}{r_2}\)

\( \mathrm{r}_1=\sqrt{(\sqrt{3})^2+(\sqrt{3})^2}\)

\( \mathrm{r}_2=\sqrt{(\sqrt{6})^2+0}\)

As \(r_1=r_2=\sqrt{6} \mathrm{~m}\)

So potential difference \(=0\)

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