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Saturday, 31 October

JEE Main 2023 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 13 April 2023, Shift 1, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

A thin infinite sheet charge and an infinite line charge of respective charge densities +σ+\sigma and +λ+\lambda are placed parallel at 5 m distance from each other. Points 'P' and 'Q' are at 3π\frac{3}{\pi} m and 4π\frac{4}{\pi} m perpendicular distances from line charge towards sheet charge, respectively. 'EPE_P' and 'EQE_Q' are the magnitudes of resultant electric field intensities at point 'P' and 'Q', respectively. If EPEQ=4a\frac{E_P}{E_Q} = \frac{4}{a} for 2∣σ∣=∣λ∣2|\sigma| = |\lambda|, then the value of aa is ______________

Official answer

6

NTA final key.

Chapter
Electric Charges and Fields
Topic
Electric Field
Idea tested
Superposition Principle for Electric Fields

Same idea in other shifts

Asked 6× in all
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  3. 28 Jun 2022, Shift 1 · Q39The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The magnitude of…MediumSingle correctHas a figure
  4. 28 Jun 2022, Shift 2 · Q40Two point charges A and B of magnitude +8×10−6+8\times10^{-6} C and −8×10−6-8\times10^{-6} C respectively are placed at a distance d apart. The…EasySingle correct
  5. 8 Jan 2020, Shift 1 · Q10Three charged particles A, B and C with charges −4q-4q, 2q2q and −2q-2q are present on the circumference of a circle of radius d. The…MediumSingle correctHas 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.