MHT CET · Physics · Capacitance
Earth is assumed to be a charged conducting sphere having volume V and surface area \(A\). The capacitance of the earth in free space is ( \(\epsilon_0=\) permittivity of free space)
- A \(\frac{2 \pi \epsilon_0 V}{A}\)
- B \(\frac{8 \pi \epsilon_0 V}{A}\)
- C \(\frac{12 \pi \epsilon_0 V}{A}\)
- D \(\frac{4 \pi \epsilon_0 V}{A}\)
Answer & Solution
Correct Answer
(C) \(\frac{12 \pi \epsilon_0 V}{A}\)
Step-by-step Solution
Detailed explanation
Capacitance of an isolated sphere: \(C = 4 \pi \epsilon_0 R\) For a sphere: \(R = \frac{3V}{A}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- In which thermodynamic process, the change in internal energy ' \(\Delta \mathrm{U}\) ', heat supplied ' \(\mathrm{Q}\) ' and the work done in expansion ' \(\mathrm{W}\) ' are all non-zero?MHT CET 2022 Easy
- A particle oscillates in straight line simple harmonically with period 8 second and amplitude \(4 \sqrt{2} \mathrm{~m}\). Particle starts from mean position. The ratio of the distance travelled by it in \(1^{\text {st }}\) second of its motion to that in \(2^{\text {nd }}\) second is \(\left(\sin 45^{\circ}=1 / \sqrt{2}, \sin \frac{\pi}{2}=1\right)\)MHT CET 2025 Medium
- A circular coil carrying current 'I' has a radius ' \(r\) ' and ' \(n\) ' turns. The magnetic field along the axis of a coil at a distance ' \(2 \sqrt{2} r\) ' from its centre is ( \(\mu_0=\) permeability of free space, \(n\) is very small)MHT CET 2025 Medium
- A transformer having efficiency \(90 \%\) is working on 200 V and 3 kw power supply. If the current in the secondary coil is 6 A , the voltage across the secondary coil and the current in the primary coil are respectivelyMHT CET 2024 Easy
- A ray of light passes through equilateral prism such that the angle of incidence is equal to angle of emergence and each of these angles is equal to \(\left(\frac{3}{4}\right)^{\mathrm{th}}\) the angle of prism. The angle of deviation isMHT CET 2020 Easy
- The frequency at resonance for the circuit is
MHT CET 2025 Medium
More PYQs from MHT CET
- Calculate the osmotic pressure of 0.5 M aqueous solution of nonvolatile solute at \(300 \mathrm{~K}\left[\mathrm{R}=0.0821 \mathrm{~atm~} \mathrm{dm}^3 \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right]\)MHT CET 2025 Easy
- \(\frac{\pi}{2}\)
If \(\int_0 \frac{\cot x}{\cot x+\operatorname{cosec} x} d x=m(\pi+n)\), then (m.n) equalsMHT CET 2022 Easy - Identify compound \(\mathrm{A}\) in the following reaction.
\(\mathrm{R}-\mathrm{Mg}-\mathrm{X}+\mathrm{A} \stackrel{\text { dry ether }}{\longrightarrow} \mathrm{R}-\mathrm{COOMg} \mathrm{X}\) \(\underset{\text { dil HCl }}{\stackrel{\mathrm{HOH}}{\longrightarrow}} \mathrm{R}-\mathrm{COOH}+\mathrm{Mg}(\mathrm{X}) \mathrm{OH}\)MHT CET 2022 Hard - If the curves \(y^2=6 x, 9 x^2+b y^2=16\) intersect each other at right angles, the value of \(b\) isMHT CET 2022 Easy
- The ratio of magnetic field at the centre of the current carrying circular loop and magnetic moment is ' \(x\) '. When both the current and radius are double then the ratio will beMHT CET 2023 Medium
- What is the molar conductivity of \(0.005 \mathrm{M}\) \(\mathrm{NaI}\) solution if its conductivity is \(6.065 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{-1}\) ?MHT CET 2023 Easy