JEE Mains · Physics · STD 12 - 1. Electric charges and fields
The magnitude of the average electric field normally present in the atmosphere just above the surface of the Earth is about \(150\, N/C\), directed inward towards the center of the Earth . This gives the total net surface charge carried by the Earth to be......\(kC\) [Given \({\varepsilon _0} = 8.85 \times {10^{ - 12}}\,{C^2}/N - {m^2},{R_E} = 6.37 \times {10^6}\,m\)]
- A \( + 670\)
- B \( - 670\)
- C \( - 680\)
- D \( + 680\)
Answer & Solution
Correct Answer
(C) \( - 680\)
Step-by-step Solution
Detailed explanation
Given, Electric field \(\mathrm{E}=150\, \mathrm{N} / \mathrm{C}\) Total surface charge carried by earth \(q=?\) According to Gauss's law. \(\phi=\frac{q}{\epsilon_{0}}=E A\) \( \text { or, } q=\epsilon_{0} \mathrm{EA}\) \(=\epsilon_{0} \mathrm{E} \pi r^{2} \)…
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
- The temperature of an open room of volume \(30\ m^3\) increases from \(17^o C\) to \(27vC\) due to sunshine. The atmospheric pressure in the room remains \(1 \times 10^5\ Pa\). Ifni and nr are the number of molecules in the room before and after heating, then \(n_f-n_i\) will be :JEE Mains 2017 Medium
- A concave mirror of focal length \(f\) in air is dipped in a liquid of refractive index \(\mu\). Its focal length in the liquid will be:JEE Mains 2025 Medium
- The coercivity of a small magnet where the ferromagnet gets demagnetized is \(3 \times 10^3\) \( Am^{-1}\) The current required to be passed in a solenoid oflength \(10\ cm\) and number of turns \(100\), so that the magnet gets demagnetized when inside the solenoid, isJEE Mains 2014 Medium
- A diode has Zener voltage of \(10\) V and maximum power dissipation of \(0.5\) W, then the minimum resistance to be used in series with this diode for safety when it is connected to a \(25\) V power supply is ______ \(\Omega\).JEE Mains 2026 Easy
- A deviation of \(2^{\circ}\) is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of crown and flint glass are \(0.02\) and \(0.03\) respectively and refractive index for yellow light for these glasses are \(1.5\) and \(1.6\) respectively. The refracting angles for crown glass prism will be \(........\,^{\circ}\) (in degree) (Round off to the Nearest Integer)JEE Mains 2021 Hard
- The magnetic intensity at the centre of a long current carrying solenoid is found to be \(1.6 \times 10^3 Am ^{-1}\). If the number of turns is 8 per cm, then the current flowing through the solenoid is \(................\,A\)JEE Mains 2023 Easy
More PYQs from JEE Mains
- The specific heat of water \(=4200\, J\, kg ^{-1}\, K ^{-1}\) and the latent heat of ice \(=3.4 \times 10^{5}\, J\, kg ^{-1}.\) \(100\) grams of ice at \(0^{\circ} C\) is placed in \(200\, g\) of water at \(25^{\circ} C\). The amount of ice that will melt as the temperature of water reaches \(0^{\circ} C\) is close to (in \(grams\))JEE Mains 2020 Medium
- Let \(C\) be the set of all complex numbers. Let \(\mathrm{S}_{1}=\{\mathrm{z} \in \mathrm{C}:|\mathrm{z}-2| \leq 1\} \text { and }\) \(\mathrm{S}_{2}=\{\mathrm{z} \in \mathrm{C}: \mathrm{z}(1+\mathrm{i})+\overline{\mathrm{z}}(1-\mathrm{i}) \geq 4\}\) Then, the maximum value of \(\left|z-\frac{5}{2}\right|^{2}\) for \(z \in \mathrm{S}_{1} \cap \mathrm{S}_{2}\) is equal to:JEE Mains 2021 Hard
- In the figure, a very large plane sheet of positive charge is shown. \(P _{1}\) and \(P _{2}\) are two points at distance \(l\) and \(2 \,l\) from the charge distribution. If \(\sigma\) is the surface charge density, then the magnitude of electric fields \(E_{1}\) and \(E_{2}\) at \(P _{1}\) and \(P _{2}\) respectively are
JEE Mains 2022 Medium - \(\lim _{n \rightarrow \infty} \frac{\left(1^2-1\right)(n-1)+\left(2^2-2\right)(n-2)+\ldots .+\left((n-1)^2-(n-1)\right) \cdot 1}{\left(1^3+2^3+\ldots .+n^3\right)-\left(1^2+2^2+\ldots . .+n^2\right)}\) is equal to:JEE Mains 2024 Hard
- A paramagnetic substance in the form of a cube with sides \(1\, cm\) has a magnetic dipole moment of \(20 \times 10^{-6}\, J/T\) when a magnetic intensity of \(60 \times 10^3\, A/m\) is applied. Its magnetic susceptibility isJEE Mains 2019 Medium
- Two electric dipoles of dipole moments \(1.2 \times 10^{-30}\,cm\) and \(2.4 \times 10^{-30}\,cm\) are placed in two difference uniform electric fields of strengths \(5 \times 10^{4}\,NC ^{-1}\) and \(15 \times 10^{4}\,NC ^{-1}\) respectively. The ratio of maximum torque experienced by the electric dipoles will be \(\frac{1}{ x }\). The value of \(x\) is \(.....\)JEE Mains 2022 Medium