Question
The potential of a large liquid drop when eight liquid drops are combined is 20 V , then the potential of each single drop was
BITSAT
Physics
Electrostatics
2024
BITSAT 2024 (Memory Based Paper 3)
BITSAT Physics Question (2024) — Solution
Options
- A. 10 V
- B. 7.5 V
- C. 5 V
- D. 2.5 V
Answer
C. 5 V
Step-by-step solution
Volume of eight drops = Volume of a big drop ( 4 3 r^3 ) 8= 4 3 R^3 2 r=R...(i) According to charge conservation, 8 q=Q...(ii) Potential of one small drop, V^ = q 4 _0 r Similarly, potential of big drop, V= Q 4 _0 R Now, V^ V = q Q R r V^ 20 = q 8 q 2 r r [from Eqs. (i) and (ii)] V^ =5 ~V
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