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NEET 2012 (AIPMT, Mains) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from NEET 2012 (AIPMT, Mains)

Q115NEET 2012 · AIPMT · MAINSMedium

Electric Potential & Equipotentials

Two metallic spheres of radii 1 cm and 3 cm are given charges of−1{}^{-1} ×\times 10−-2 C and 5 ×\times 10−-2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

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Answer: (b)

  1. Total charge =−1×10−2+5×10−2=4×10−2 C= -1\times10^{-2} + 5\times10^{-2} = 4\times10^{-2}\,\text{C}.
  2. Equal potential ⇒q∝r\Rightarrow q \propto r: ratio 1:31 : 3.
  3. qbig=34×4×10−2=3×10−2 Cq_{big} = \frac{3}{4}\times 4\times10^{-2} = 3\times10^{-2}\,\text{C}
  4. So the answer is (b) 3×10−2 C3\times10^{-2}\,\text{C}.
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