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Friday, 9 October

JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 April 2024, Shift 1, Physics Q40

Question 40 of 90 in this shift, Physics question 10 of 30, Section A.

A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is A3\frac{A}{3} and the height is d, the capacitance of the arrangement is :

The figure, in words

Flat bottom plate of area A; the upper plate is a three-step staircase, each stair of area A/3 and each step height d (gaps d, 2d, 3d above the bottom plate).
  1. (1)11ϵ0A18d\frac{11\epsilon_0A}{18d}Official answer
  2. (2)13ϵ0A17d\frac{13\epsilon_0A}{17d}
  3. (3)11ϵ0A20d\frac{11\epsilon_0A}{20d}
  4. (4)18ϵ0A11d\frac{18\epsilon_0A}{11d}

Official answer

Option 1

NTA final key.

Chapter
Electrostatic Potential and Capacitance
Topic
Parallel Plate Capacitors
Idea tested
Series and Parallel Combinations

Same idea in other shifts

Asked 3× in all
  1. 4 Apr 2026, Shift 2 · Q37From the circuit given below, the capacitance between terminals AA and BB shown in the circuit is ________ μ\muF. (take…MediumDiagram basedHas a figure
  2. 8 Jan 2020, Shift 1 · Q11Effective capacitance of parallel combination of two capacitors C1C_1 and C2C_2 is 10 μ\muF. When these capacitors are individually…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.