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NEET 1995 (AIPMT) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from NEET 1995 (AIPMT)

Q129NEET 1995 · AIPMTMedium

Electric Potential & Equipotentials

Two metallic spheres of radii 1 cm1\text{ cm} and 2 cm2\text{ cm} are given charges 10−2 C10^{-2}\text{ C} and 5×10−2 C5 \times 10^{-2}\text{ C} respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is

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Answer: (d)

  1. Total charge =10−2+5×10−2=6×10−2 C= 10^{-2} + 5\times10^{-2} = 6\times10^{-2}\,\text{C}.
  2. Equal potential ⇒q∝r\Rightarrow q \propto r: ratio 1:21 : 2.
  3. qsmall=13×6×10−2=2×10−2 Cq_{small} = \frac{1}{3}\times 6\times10^{-2} = 2\times10^{-2}\,\text{C}
  4. So the answer is (d) 2×10−2 C2\times10^{-2}\,\text{C}.
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