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TS EAMCET · Physics · Electrostatics

Two metal spheres have their radii in the ratio of \(4: 7\). They are put in contact and a charge \(8.8 \times 10^{-7} \mathrm{C}\) is given to the system. Then they are separated so that each can exert no influence on the other. The potential due to the smaller sphere at \(60 \mathrm{~m}\) from it in Volt is

  1. A 85
  2. B 76
  3. C 48
  4. D 66
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Answer & Solution

Correct Answer

(C) 48

Step-by-step Solution

Detailed explanation

We have \(\mathrm{q}=\mathrm{q}_1+\mathrm{q}_2\) and, \(\frac{\mathrm{Kq}_1}{\mathrm{R}_1}=\frac{\mathrm{K}_{\mathrm{q}_2}}{\mathrm{R}_2} \Rightarrow \frac{\mathrm{q}_1}{4 \mathrm{R}}=\frac{\mathrm{q}_2}{7 \mathrm{R}} \Rightarrow \frac{\mathrm{q}_1}{\mathrm{q}_2}=\frac{4}{7}\)…
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