COMEDK · Physics · 18. Capacitance
A spherical drop of capacitance \(1 \mu \mathrm{F}\) is broken into eight drops of equal radius. Then, the capacitance of each small drop is
- A \(\frac{1}{8} \mu \mathrm{F}\)
- B \(8 \mu \mathrm{F}\)
- C \(\frac{1}{2} \mu \mathrm{F}\)
- D \(\frac{1}{4} \mu \mathrm{F}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{2} \mu \mathrm{F}\)
Step-by-step Solution
Detailed explanation
Given, capacitance of bigger drop \(=1 \mu \mathrm{F}\) Let \(R\) be the radius of bigger drop and \(r\) be the radius of smaller drops. According to the question, \(\frac{4}{3} \pi R^{3}=8 \times \frac{4}{3} \pi r^{3}\)…
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