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← JEE Main 2022 · 30 Jun · Shift 1
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JEE Main 2022 · 30 Jun · Shift 1, Physics question 55

Eight similar drops of mercury are maintained at 12 V each. All these spherical drops combine into a single big drop. The potential energy of bigger drop will be ______ E. Where E is the potential energy of a single smaller drop.

Answer and worked solution

Official answer: 32

Merging 8 drops. Q=8qQ=8q, R=2rR=2r; U∝Q2R=642=32U\propto\frac{Q^2}R=\frac{64}2=32 times.

Answer: 32