Verified Solution • 2025–26 Session moderate

QJEEM21Ph8e57: JEE Main 2021 Physics - Class 12 JEEM21Ph8e57 Solution: A 100 Ω resistance, a 0.1 μ F capacitor and an inductor are…

A 100Ω resistance, a 0.1 μF capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant frequency is 60 Hz.

Multiple Choice Options

  • A 0.70 H
  • B 70.3 mH
  • C 7.03 × 10−5 H
  • D 70.3 H

Step-by-Step Verified Solution

C = 0.1 μF = 10−7 F

Resonant frequency = 60 Hz.

ω0=1LC

2πf0=1LC⇒L=14π2f02C

by putting values L≃70.3 Hz.

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