27 similar drops of mercury are maintained at 10   V each. All these spherical drops combine into a…

27 similar drops of mercury are maintained at 10 V each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is ___________ times that of a smaller drop.

Solution

2743πr3=43πR3

R=3r

Potential energy of smaller drop U1=35kq2r

Potential energy of bigger drop : U=35kQ2R

U=35k27q2R

U=35k2727q23r

U=2727335kq2r

U=243U1

Asked in: JEE Main 2021 (26 Feb Shift 2)

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