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. The minimum velocity (in ms⁻¹) with which a car driver must traverse a flat curve
2. The phase difference between the flux linked with a coil rotating in a uniform
3. Wave nature of light is verified by
4. A p-n photodiode is made of a material with a band gap of 2.0 eV
5. A wire of resistance 4 ohm is stretched to twice its original length.

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