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Saturday, 31 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 4 April 2024, Shift 1, Physics Q55

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

An infinite plane sheet of charge having uniform surface charge density +σs C/m2+\sigma_s\ \mathrm{C/m^2} is placed on xx-yy plane. Another infinitely long line charge having uniform linear charge density +λe C/m+\lambda_e\ \mathrm{C/m} is placed at z=4z = 4 m plane and parallel to yy-axis. If the magnitude values ∣σs∣=2 ∣λe∣|\sigma_s| = 2\,|\lambda_e| then at point (0,0,2)(0, 0, 2), the ratio of magnitudes of electric field values due to sheet charge to that of line charge is πn:1\pi\sqrt{n} : 1. The value of n is ________.

Official answer

16

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
  1. 2 Apr 2025, Shift 1 · Q34A small bob of mass 100 mg and charge +10 μC+10\ \mu\mathrm{C} is connected to an insulating string of length 1 m. It is brought near to an…MediumSingle correctHas a figure
  2. 29 Jan 2024, Shift 1 · Q55An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge…HardNumerical value
  3. 25 Jun 2022, Shift 1 · Q38In the figure, a very large plane sheet of positive charge is shown. P1P_1 and P2P_2 are two points at distance ll and 2l2l from the…EasyDiagram basedHas a figure
  4. 4 Sep 2020, Shift 1 · Q10Two charged thin infinite plane sheets of uniform surface charge density σ+\sigma_+ and σ−\sigma_-, where ∣σ+∣>∣σ−∣|\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.