JEE Main 2024 · PhysicsNumerical answerNumerical valueHardMulti-step

JEE Main 29 January 2024, Shift 1, Physics Q55

Question 55 of 90 in this shift, Physics question 25 of 30, Section B.

An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge density

+\sigma

. The electron at

t

=0 is at a distance of 1 m from S and has a speed of 1 m/s. The maximum value of

\sigma

if the electron strikes S at

t

=1 s is

\alpha\left[\frac{m\epsilon_0}{e}\right]\frac{C}{m^2}

, the value of

\alpha

is ______.

Official answer

NTA final key.

Chapter: Electric Charges and Fields
Topic: Electric Field
Idea tested: Field of an Infinite Non-Conducting Sheet

Same idea in other shifts

Asked 5× in all

2 Apr 2025, Shift 1 · Q34A small bob of mass 100 mg and charge $+10\ \mu\mathrm{C}$ is connected to an insulating string of length 1 m. It is brought near to an…MediumSingle correctHas a figure
4 Apr 2024, Shift 1 · Q55An infinite plane sheet of charge having uniform surface charge density $+\sigma_s\ \mathrm{C/m^2}$ is placed on $x$ - $y$ plane. Another…MediumNumerical value
25 Jun 2022, Shift 1 · Q38In the figure, a very large plane sheet of positive charge is shown. $P_1$ and $P_2$ are two points at distance $l$ and $2l$ from the…EasyDiagram basedHas a figure
4 Sep 2020, Shift 1 · Q10Two charged thin infinite plane sheets of uniform surface charge density $\sigma_+$ and $\sigma_-$ , where $|\sigma_+| > |\sigma_-|$ ,…HardDiagram basedHas a figure

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.