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JEE Mains · Physics · STD 12 - Electric potential and capacitance
  • JEE Mains 2020
  • Medium
  • MCQ

Concentric metallic hollow spheres of radii \(R\) and \(4 R\) hold charges \(Q _{1}\) and \(Q _{2}\) respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference \(V ( R )- V (4 R )\) is

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Answer & Solution

Correct Answer

(A) \(\frac{3 Q_{1}}{16 \pi \varepsilon_{0} R}\)

Step-by-step Solution

Detailed explanation

\(E =\frac{ KQ _{1}}{ r ^{2}}\)

\(\Delta V =\int_{ R }^{4 R } E dr =\frac{3 KQ _{1}}{4 R }\)

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