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Friday, 9 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 9 April 2024, Shift 2, Physics Q56

Question 56 of 90 in this shift, Physics question 26 of 30, Section B.

An electric field E⃗=(2xi^) NC−1\vec{E}=(2x\hat{i})\ NC^{-1} exists in space. A cube of side 22m is placed in the space as per figure given below. The electric flux through the cube is ________ Nm2/CNm^2/C.

The figure, in words

3D axes X (right), Y (up), Z (toward viewer, down-left) with origin O. A cube of side 2 m is drawn with its faces perpendicular to the axes; the horizontal distance from the origin (Y axis) to the cube's near face is marked 2 m, and the cube's edge along x is marked 2 m.

Official answer

16

NTA final key.

Chapter
Electric Charges and Fields
Topic
Gauss's Law
Idea tested
Flux in Spatially Variable Field

Same topic in other shifts

All Gauss's Law questions
  1. 2 Apr 2026, Shift 2 · Q40Two point charges 8 μ\muC and −2-2 μ\muC are located at x=2x = 2 cm and x=4x = 4 cm, respectively on the xx-axis. The ratio of electric…EasySingle correct
  2. 7 Apr 2025, Shift 2 · Q50The electric field in a region is given by E⃗=(2i^+4j^+6k^)×103\vec{E}=\left(2\hat{i}+4\hat{j}+6\hat{k}\right)\times10^3 N/C. The flux of the field through…EasyNumerical value
  3. 8 Apr 2025, Shift 2 · Q36An infinitely long wire has uniform linear charge density λ=2\lambda = 2 nC/m. The net flux through a Gaussian cube of side length…MediumSingle correct
  4. 8 Apr 2024, Shift 1 · Q55An electric field, E⃗=2i^+6j^+8k^6\vec{E}=\frac{2\hat{i}+6\hat{j}+8\hat{k}}{\sqrt{6}} passes through the surface of 4 m2^2 area having unit vector…EasyNumerical value
  5. 29 Jan 2024, Shift 1 · Q40Two charges of 5Q5Q and −2Q-2Q are situated at the points (3a,0)(3a, 0) and (−5a,0)(-5a, 0) respectively. The electric flux through a sphere of…EasySingle correct
  6. 30 Jan 2024, Shift 2 · Q40A particle of charge '−q-q' and mass 'mm' moves in a circle of radius 'rr' around an infinitely long line charge of linear charge…MediumSingle correct

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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.