Physics

Physics

Problem

![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/29c23f78f40a/2025_11_20_15035248b42bfae1659eg-11.jpg) 61. The nonconducting hollow sphere of radius R shown above carries a large charge +Q , which is uniformly distributed on its surface. There is a small hole in the sphere. A small charge +q+q is initially located at point PP. a distance r from the center of the sphere. If k=1/4πεo\mathrm{k}=1 / 4 \pi \varepsilon_{\mathrm{o}}, what is the work that must be done by an external agent in moving the charge +q+q from PP through the hole to the center OO of the sphere? (A) kqQ/r\mathrm{kqQ} / \mathrm{r} (B) kqQ/R\mathrm{kqQ} / \mathrm{R} (C) kq(Q−q)/rk q(Q-q) / r (D) kqQ(1/R−1/r)\mathrm{kqQ}(1 / \mathrm{R}-1 / \mathrm{r})

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