Two non-conducting hemispherical surfaces, which are having uniform charge density \( \sigma \) ...

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Two non-conducting hemispherical surfaces, which are having uniform charge density \( \sigma \) are placed on smooth horizontal surface as shown in figure. Assuming springs are ideal, calculate compression
\( P \) in each spring if both the hemispherical surface are iust touching each other.

W.
(A) \( \frac{\sigma^{2} R^{2}}{2 \varepsilon_{0} k} \)
(B) \( \mathrm{R} \)
(C) \( \frac{\sigma^{2} \pi R^{2}}{2 \varepsilon_{0} k} \)
(D) None of these
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