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QJEEM23Ph3bc5: JEE Main 2023 Physics - Class 12 JEEM23Ph3bc5 Solution: In an LC oscillator, if values of inductance and capacitance…

In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes x times its initial resonant frequency ω0. The value of x is :

Multiple Choice Options

  • A `1/4
  • B `1/16
  • C 4
  • D 16

Step-by-Step Verified Solution

The resonance frequency of LC oscillations circuit is

ω0=1LCL→2 LC→8Cω=12 L×8C=14LCω=ω04

So x=14\mathrm{x}=\frac{1}{4}

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