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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 28 June 2022, Shift 1, Physics Q54

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

An AC source is connected to an inductance of 100 mH, a capacitance of 100 μ\mu F and a resistance of 120 Ω\Omega as shown in figure. The time in which the resistance having a thermal capacity 2 J/°C will get heated by 16°C is ___________ s.

The figure, in words

Series circuit with an inductor 100 mH, a capacitor 100 μ\muF and a resistor 120 Ω\Omega, connected to an AC source labelled V=202sin⁡(100 t)V = 20\sqrt{2}\sin(100\,t).

Official answer

15

NTA final key.

Chapter
Alternating Current
Topic
Phasor Diagrams
Idea tested
Impedance Triangle Construction

Same idea in other shifts

Asked 9× in all
  1. 2 Apr 2026, Shift 2 · Q42The figure given below shows an LCR series circuit with two switches S1S_1 and S2S_2. When switch S1S_1 is closed keeping S2S_2 open, the…HardSingle correctHas a figure
  2. 4 Apr 2026, Shift 1 · Q50An inductor of 1010 mH, capacitor of 0.1 μ0.1\ \muF and a resistor of 100 Ω100\ \Omega are connected in series across an a.ca.c power supply…MediumNumerical value
  3. 5 Apr 2026, Shift 1 · Q44An a.c. source of angular frequency ω\omega is connected across a resistor RR and a capacitor CC in series. The current is observed as…MediumSingle correct
  4. 5 Apr 2024, Shift 1 · Q57An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of 20 μF20\ \mu\mathrm{F} is…MediumNumerical valueHas a figure
  5. 9 Apr 2024, Shift 1 · Q43A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of the capacitor. The…MediumSingle correct
  6. 27 Jul 2022, Shift 2 · Q44A series LCR circuit has L = 0.01 H, R = 10 Ω\Omega and C = 1 μ\muF and it is connected to ac voltage of amplitude (Vm\mathrm{V_m}) 50…MediumSingle correct
  7. 25 Jun 2022, Shift 2 · Q42A sinusoidal voltage V(t)V(t) = 210 sin 3000 tt volt is applied to a series LCR circuit in which LL = 10 mHmH, CC =25 µFF and RR = 100…MediumSingle correct
  8. 3 Sep 2020, Shift 1 · Q15A 750 Hz, 20 V (rms) source is connected to a resistance of 100 Ω\Omega, an inductance of 0.1803 H and a capacitance of 10 μ\muF all in…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.