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Sixty four identical drops each charged by q coulomb to potential V volt coalesce to form a single large drop. The charge and potential on the large drop are respectively
  • a)
    64q, V
  • b)
    8q, 16V
  • c)
    16q, 16V
  • d)
    64q, 16V
Correct answer is option 'D'. Can you explain this answer?
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Sixty four identical drops each charged by q coulomb to potential V vo...
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Sixty four identical drops each charged by q coulomb to potential V vo...
Explanation:

When identical drops coalesce, their charges and potentials add up.

Charge on the large drop = 64q

Potential of the large drop = V/64 (since potential is inversely proportional to the size of the drop)

Therefore, potential of the large drop = V/64 × 64 = V

Hence, the charge and potential on the large drop are respectively 64q and V.

Therefore, the correct answer is option D.
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Sixty four identical drops each charged by q coulomb to potential V volt coalesce to form a single large drop. The charge and potential on the large drop are respectivelya)64q, Vb)8q, 16Vc)16q, 16Vd)64q, 16VCorrect answer is option 'D'. Can you explain this answer?
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