A Levels Physics (9702)•9702/12/O/N/19

Explanation
Force balance in electric field Steps:
- The oil drop is stationary, so gravitational force mg equals electric force neE.
- Electric field E between plates is V/d.
- Substitute: ne(V/d) = mg.
- Solve for n: n = (mgd)/(eV).
Why B is correct:
- Not applicable; no option matches the derived formula.
Why the others are wrong:
- A omits d, assuming E = V instead of V/d.
- C rearranges terms incorrectly, yielding inverse dimensions.
- D inverts the formula, giving 1/n with swapped factors.
Not enough information to select a matching option; derived n = (m g d)/(e V) not present.
Final answer: Not enough information.
Topic: Uniform electric fields
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