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BITSAT2023PhysicsElectromagnetic InductionActual

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 ₀ . The value of x is:

Options

  1. A1 / 4
  2. B16
  3. C1 / 16
  4. D4

Correct answer

A. 1 / 4

Step-by-step solution

The resonance frequency of LC oscillations circuit is = 1 L ^ C ^ L ^ 2 ~L C ^ 8 C = 1 2 ~L 8 C = 1 4 LC 9 ₀= 1 LC = ₀ 4 So, x= 1 4

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