Three concentric metallic spherical shells of radii $R, 2 R, 3 R$ are given charges $Q_1, Q_2, Q_3$, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, $Q_1: Q_2: Q_3$, is

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Aicharya · Accepted Answer

$Q_1=\sigma\left(4 \pi R^2ight)=4 \pi \sigma R^2$ $ \begin{aligned} & Q_2=16 \pi \sigma R^2-Q_1=12 \pi \sigma R^2 \ & Q_3=36 \pi \sigma R^2-16 \pi \sigma R^2=20 \pi \sigma R^2 \ & Q_1: Q_2: Q_3=1: 3: 5 \end{aligned} $

Three concentric metallic spherical shells of radii $R, 2 R, 3 R$ are given charges $Q_1, Q_2, Q_3$,…

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