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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceDiagram basedEasyCalculation

JEE Main 26 June 2022, Shift 1, Physics Q40

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

Two capacitors having capacitance C1C_1 and C2C_2 respectively are connected as shown in figure. Initially, capacitor C1C_1 is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor C1C_1 is now connected to uncharged capacitor C2C_2 by closing the switch S. The amount of charge on the capacitor C2C_2, after equilibrium, is :

The figure, in words

A single rectangular loop: capacitor C1 on the left side, capacitor C2 on the right side, and a switch S (open, drawn as a hinged blade) in the top wire.
  1. (1)C1C2(C1+C2)V\frac{C_1C_2}{(C_1+C_2)}VOfficial answer
  2. (2)(C1+C2)C1C2V\frac{(C_1+C_2)}{C_1C_2}V
  3. (3)(C1+C2)V(C_1+C_2)V
  4. (4)(C1−C2)V(C_1-C_2)V

Official answer

Option 1

NTA final key.

Chapter
Electrostatic Potential and Capacitance
Topic
Parallel Plate Capacitors
Idea tested
Charge Sharing and Heat Loss

Same idea in other shifts

Asked 12× in all
  1. 3 Apr 2025, Shift 2 · Q38Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is…EasySingle correct
  2. 1 Feb 2024, Shift 1 · Q40Two identical capacitors have same capacitance C. One of them is charged to the potential V and other to the potential 2V. The negative…MediumSingle correct
  3. 30 Jan 2024, Shift 1 · Q55A capacitor of capacitance C and potential V has energy E. It is connected to another capacitor of capacitance 2 C and potential 2 V. Then…MediumNumerical value
  4. 8 Apr 2023, Shift 2 · Q55A 600 pF capacitor is charged by 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF…MediumNumerical value
  5. 11 Apr 2023, Shift 1 · Q41A parallel plate capacitor of capacitance 2 F is charged to a potential V, The energy stored in the capacitor is E1E_1. The capacitor is…EasySingle correct
  6. 27 Jun 2022, Shift 1 · Q57A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacitor. Electrostatic…EasyNumerical value
  7. 17 Mar 2021, Shift 2 · Q21A 2 μ\muF capacitor C1\mathrm{C_1} is first charged to a potential difference of 10 V using a battery. Then the battery is removed and…EasyNumerical valueHas a figure
  8. 2 Sep 2020, Shift 1 · Q23A 5 μF5\ \mu\mathrm{F} capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in series to…MediumNumerical value

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.