JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 28 July 2022, Shift 1, Physics Q54

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

The frequencies at which the current amplitude in an LCR series circuit becomes

\frac{1}{\sqrt{2}}

times its maximum value, are 212 rad s

^{-1}

and 232 rad s

^{-1}

. The value of resistance in the circuit is

R=5\ \Omega

. The self inductance in the circuit is __________ mH.

Official answer

250

NTA final key (2022 Session 2).

Chapter: Alternating Current
Topic: LCR Resonance
Idea tested: Half-Power Frequencies

Same topic in other shifts

All LCR Resonance questions

5 Apr 2026, Shift 2 · Q48A series LCR circuit with $R=20\ \Omega$ , $L=1.6$ H and $C=40\ \mu\mathrm{F}$ is connected to a variable frequency a.c. source. The…EasyNumerical value
6 Apr 2024, Shift 2 · Q59For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is 2.5 nF. If resistance of…EasyNumerical value
8 Apr 2024, Shift 1 · Q50A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the value of resistance is halved keeping all other…EasySingle correct
29 Jan 2024, Shift 1 · Q43A capacitor of capacitance $100\ \mu$ F is charged to a potential of 12 V and connected to a 6.4 mH inductor to produce oscillations. The…EasySingle correct
8 Apr 2023, Shift 2 · Q58A series combination of resistor of resistance 100 $\Omega$ , inductor of inductance 1 H and capacitor of capacitance 6.25 $\mu$ F is…EasyNumerical value
11 Apr 2023, Shift 1 · Q36As per the given graph, choose the correct representation for curve A and curve B. {Where $X_C$ = reactance of pure capacitive circuit…EasyDiagram basedHas a figure

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. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.