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 particle is under two mutually perpendicular simple harmonic motions
2. A bar magnet having a magnetic moment of 2 x 10⁴JT⁻¹ is free to rotate in a horizontal
3. The acceleration due to gravity becomes (g/2) where g=acceleration due to gravity
4. In n-type semiconductor, electrons are majority charge carriers
5. what is the de-Broglie wavelength of the electron accelerated through a potential

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