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MHT CET 2026 (19 Apr, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2026 (19 Apr, Shift 1)

Q3MHT CET 2026 · 19 APR · SHIFT 1Easy

Electric Potential & Equipotentials

'nn' small spherical drops of the same size which are charged to 'V' volt each coalesce to form a single big drop. The potential of a big drop is

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Answer: (d)

  1. Charge is conserved: Q=nqQ = nq; volume is conserved: 43πR3=n⋅43πr3⇒R=n1/3r\frac{4}{3}\pi R^3 = n\cdot\frac{4}{3}\pi r^3 \Rightarrow R = n^{1/3}r
  2. V′=kQR=knqn1/3r=n2/3VV' = \frac{kQ}{R} = \frac{knq}{n^{1/3}r} = n^{2/3}V
  3. So the answer is (d) n2/3Vn^{2/3}V.
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