TS EAMCET · Physics · Electrostatics
Two isolated, concentric, conducting spherical shells have radii \(R\) and \(2 R\) and uniform charges \(q\) and \(2 q\) respectively. If \(V_1\) and \(V_2\) are potentials at points located at distances \(3 R\) and \(\frac{R}{2}\), respectively, from the centre of shells. Then the ratio of \(\left(\frac{V_2}{V_1}\right)\) will be
- A 2
- B 1
- C \(\frac{1}{2}\)
- D 0
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
For point, \(r=\frac{R}{2}\) \(V_1=\) Potential of surface radius \(R+\) Potential of surface radius \(2 R\) \[ =\frac{k q}{R}+\frac{k 2 q}{2 R}=\frac{2 k q}{R} \] For point \(\quad r=3 R\), \(V_2=\) Potential due to charges \(q\) and \(2 q\) assumed to be concentrated at centre…
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