MHT CET 2025 Physics question

PhysicsElectrostatic Potential and CapacitanceMHT CET 2025

Assuming the drops to be spherical, 27 identical drops of mercury are charged simultaneously to the same potential of 20 volt. If all the charged drops are made to combine to form one big drop, then potential of big drop will be

Answer: (B)

Solution

Let each small drop have radius r and charge q, so . Volume is conserved: . Charge is conserved: . The potential of the big drop is

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Question ID VK-102627