JEE Mains · Physics · STD 12 - 1. Electric charges and fields
Two infinite identical charged sheets and a charged spherical body of charge density ' \(\rho\) ' are arranged as shown in figure. Then the correct relation between the electrical fields at \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) and D points is :
- A \(\overrightarrow{\mathrm{E}}_{\mathrm{A}}=\overrightarrow{\mathrm{E}}_{\mathrm{B}} ; \overrightarrow{\mathrm{E}}_{\mathrm{C}}=\overrightarrow{\mathrm{E}}_{\mathrm{D}}\)
- B \(\overrightarrow{\mathrm{E}}_{\mathrm{A}} \gt \overrightarrow{\mathrm{E}}_{\mathrm{B}} ; \overrightarrow{\mathrm{E}}_{\mathrm{C}}=\overrightarrow{\mathrm{E}}_{\mathrm{D}}\)
- C \(\overrightarrow{\mathrm{E}}_{\mathrm{C}} \neq \overrightarrow{\mathrm{E}}_{\mathrm{D}} ; \overrightarrow{\mathrm{E}}_{\mathrm{A}} \gt \overrightarrow{\mathrm{E}}_{\mathrm{B}}\)
- D \(\left|\overrightarrow{\mathrm{E}}_{\mathrm{A}}\right|=\left|\overrightarrow{\mathrm{E}}_{\mathrm{B}}\right| ; \overrightarrow{\mathrm{E}}_{\mathrm{C}} \gt \overrightarrow{\mathrm{E}}_{\mathrm{D}}\)
Answer & Solution
Correct Answer
(C) \(\overrightarrow{\mathrm{E}}_{\mathrm{C}} \neq \overrightarrow{\mathrm{E}}_{\mathrm{D}} ; \overrightarrow{\mathrm{E}}_{\mathrm{A}} \gt \overrightarrow{\mathrm{E}}_{\mathrm{B}}\)
Step-by-step Solution
Detailed explanation
Conceptual \(\begin{aligned} & \mathrm{E}_{\mathrm{C}} \neq \mathrm{E}_{\mathrm{D}} \\ & \mathrm{E}_{\mathrm{A}} \gt \mathrm{E}_{\mathrm{B}} \end{aligned}\)
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
- Two shorts dipoles \((A, B), A\) having charges \(\pm 2 \mu C\) and length 1 cm and \(B\) having charges \(\pm 4 \mu C\) and length 1 cm are placed with their centres 80 cm apart as shown in the figure. The electric field at a point \(P\), equi-distant from the centres of both dipoles is ___________ N/C.
JEE Mains 2026 Easy - The average kinetic energy of a monatomic molecule is \(0.414 \mathrm{eV}\) at temperature : (Use \(\mathrm{K}_{\mathrm{B}}=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{mol}-\mathrm{K}\) )JEE Mains 2024 Hard
- When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted election is \(v _{1}\). When the frequency of incident radiation is increased to five times the threshold value, the maximum velocity of emitted electron becomes \(v _{2}\). If \(v _{2}= x\) \(v _{1}\), the value of \(x\) will be...........JEE Mains 2022 Medium
-
A bar magnet has total length \(2 l=20\) units and the field point \(P\) is at a distance \(\mathrm{d}=10\) units from the centre of the magnet. If the relative uncertainty of length measurement is \(1 \%\), then uncertainty of the magnetic field at point P is :JEE Mains 2025 Hard - The balancing length for a cell is \(560 \;\mathrm{cm}\) in a potentiometer experiment. When an external resistance of \(10 \;\Omega\) is connected in parallel to the cell, the balancing length changes by \(60\; \mathrm{cm} .\) If the internal resistance of the cell is \(\frac{\mathrm{N}}{10} \;\Omega,\) where \(\mathrm{N}\) is an integer then value of \(\mathrm{N}\) isJEE Mains 2020 Medium
- The velocity of a particle executing simple harmonic motion along \(x\)-axis is described as \(v^2 = 50 - x^2\), where \(x\) represents displacement. If the time period of motion is \(\dfrac{x}{7}\) s, the value of \(x\) is _____.JEE Mains 2026 Medium
More PYQs from JEE Mains
- Which of the following are correct expression for torque acting on a body?
A. \(\vec{\tau}=\vec{r}\times\vec{L}\)
B. \(\vec{\tau}=\frac{\mathrm{d}}{\mathrm{dt}}(\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{p}})\)
C. \(\vec{\tau}=\overrightarrow{\mathrm{r}} \times \frac{\mathrm{d} \mathrm{p}}{\mathrm{dt}}\)
D. \(\vec{\tau}=\mathrm{I} \vec{\alpha}\)
E. \(\vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{F}}\)
( \(\overrightarrow{\mathrm{r}}=\) position vector; \(\overrightarrow{\mathrm{p}}=\) linear momentum;
\(\overrightarrow{\mathrm{L}}=\) angular momentum; \(\vec{\alpha}=\) angular acceleration;
\(I=\) moment of inertia; \(\vec{F}=\) force; \(t=\) time)
Choose the correct answer from the options given below :JEE Mains 2025 Easy - If sum of the first \(21\) terms of the series \(\log _{9^{1 / 2}} x +\log _{9^{1 / 3}} x +\log _{9^{1 / 4}} x +\ldots ., x >0\) , where \(x>0\) is \(504,\) then \(\mathrm{x}\) is equal to:JEE Mains 2021 Medium
- Let \(Q\) be the mirror image of the point \(P (1,0,1)\) with respect to the plane \(S : x + y + z =5\). If a line \(L\) passing through \((1,-1,-1)\), parallel to the line \(PQ\) meets the plane \(S\) at \(R\), then \(QR ^{2}\) is equal toJEE Mains 2022 Hard
- Let \(S\) be the set of all triangle in the \(xy -\) plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in \(S\) has area \(50\) sq. units, then the number of elements in the set \(S\) isJEE Mains 2019 Hard
- A flask contains Hydrogen and Argon in the ratio \(2: 1\) by mass. The temperature of the mixture is \(30^{\circ} C\). The ratio of average kinetic energy per molecule of the two gases ( \(K\) argon/ \(K\) hydrogen) is: (Given: Atomic Weight of \(Ar = 39.9\))JEE Mains 2023 Medium
- The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is \(10\,s^{-1}\). At, \(t = 0\) the displacement is \(5\, m\). What is the maximum acceleration ? The initial phase is \(\frac{\pi }{4}\)JEE Mains 2017 Hard