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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumConceptual

JEE Main 27 June 2022, Shift 2, Physics Q41

Question 41 of 90 in this shift, Physics question 11 of 30, Section A.

If a charge qq is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be :

The figure, in words

A hemispherical dome drawn with its flat circular base shown as a hatched (diagonal-lined) ellipse; the charge q is marked by a dot with the label q at the centre of the flat base.
  1. (1)qϵ0\frac{q}{\epsilon_0}
  2. (2)q2ϵ0\frac{q}{2\epsilon_0}Official answer
  3. (3)q4ϵ0\frac{q}{4\epsilon_0}
  4. (4)q2πϵ0\frac{q}{2\pi\epsilon_0}

Official answer

Option 2

NTA final key.

Chapter
Electric Charges and Fields
Topic
Gauss's Law
Idea tested
Flux Through a Hemisphere

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. 4 Apr 2024, Shift 1 · Q40An infinitely long positively charged straight thread has a linear charge density λ\lambda Cm−1^{-1}. An electron revolves along a…HardDiagram basedHas a figure
  5. 4 Apr 2024, Shift 2 · Q41A charge qq is placed at the center of one of the surface of a cube. The flux linked with the cube is:MediumSingle correct
  6. 6 Apr 2024, Shift 1 · Q38σ\sigma is the uniform surface charge density of a thin spherical shell of radius RR. The electric field at any point on the surface of…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 108 of the 174 JEE Main shifts held from 2017 to 2026.