64 identical spheres of charge q and capacitance C each are combined to form a large

⇦

⇨

64 identical spheres of charge q and capacitance C each are combined to form a large sphere. The charge and capacitance of the large sphere is

Options

(a) 64q, C
(b) 16q, 4C
(c) 64q, 4C
(d) 16q, 64C

Correct Answer:

64q, 4C

Explanation:

64 drops have formed a single drop of radius R.

Volume of big drop = Volume of small drop

.·. (4/3) πR³ = 64 × (4/3) πr³ ⇒ R = 4r —–(1)

So, the total current is Q(total) = 64q

As, C’ = Q / V and V = (1/4πε₀) (Q/R)

C’ = 4πε₀R ——–(2)

Substituting Eqn (1) in Eqn (2), we get

C’ = 4πε₀ × 4r = 4C

Related Questions:

1. A parallel plate air capacitor is charged to a potential difference of V volts.
2. In a photoelectric effect experiment, the slope of the graph between the stopping
3. A cell can be balanced against 110 cm and 100 cm of potentiometer wire, respectively
4. In which process, the P-V indicator diagram is a straight line parallel to volume
5. The unit of specific conductivity is

Topics: Electrostatics (146)
Subject: Physics (2479)

---

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

---

Share this page with your friends