JEE MainPhysicsElectrostaticsNumerical+4 / −1
27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be V.
Numerical answer
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Correct answer: 198
- For an isolated spherical drop, electric potential is
where is the charge and is the radius.
- Let each small drop have:
- charge
- radius
- potential
So,
- When identical drops combine:
- total charge becomes
- total volume becomes times, so radius becomes
- Potential of the bigger drop:
Using ,
- Therefore, the potential of the bigger drop is
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