CBSE
2019
Class Class 12 · Physics
1 Marks · Mcq
✅ Verified
If 125 water drops of equal radius and equal capacitance C, coalesce to form a single drop of capacitance C', the relation between C and C' is
A. C' = C/5
B. C' = 5C
C. C' = 25C
D. C' = C/25
✅ Answer & Solution
✅ Correct Answer: B
✅ Correct Answer: (B) C' = 5C
Step 1 — Volume Conservation:
Total volume of 125 small drops = Volume of big drop
125 × (4/3)πr³ = (4/3)πR³
R³ = 125r³
R = 5r
Step 2 — Capacitance of a Sphere:
<b>Capacitance ∝ Radius</b> → C = 4πε₀r
Step 3 — Find C':
C' = 4πε₀R = 4πε₀(5r) = 5 × (4πε₀r) = 5C
∴ <b>C' = 5C</b>
✅ Verified by Super Admin