BITSAT2024PhysicsElectrostaticsActual
The potential of a large liquid drop when eight liquid drops are combined is 20 V , then the potential of each single drop was
Options
- A10 V
- B7.5 V
- C5 V
- D2.5 V
Correct 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