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  4. A solid, uncharged conducting sphere of radius 3a contains a concentric hollowed spherical cavity of radius a . <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-qoibbihxwz6wvo34.jpg /> A point charge +Q is placed at the center of the spheres. Taking V=0 at r arrow ∈ fty , the potential at position r=2a from the center is-

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Q. A solid, uncharged conducting sphere of radius $3a$ contains a concentric hollowed spherical cavity of radius $a$ .
Question
A point charge $+Q$ is placed at the center of the spheres. Taking $V=0$ at $r \rightarrow \in fty$ , the potential at position $r=2a$ from the center is-

NTA AbhyasNTA Abhyas 2022

Solution:

Final Charge distribution will be as shown

Solution
Therefore potential at $r=2a$ is given by
$V=\frac{K Q}{2 a}-\frac{K Q}{2 a}+\frac{K Q}{3 a}$
$V=\frac{K Q}{3 a}$