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MHT CET 2025 (5 May, Shift 2) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2025 (5 May, Shift 2)

Q24MHT CET 2025 · 5 MAY · SHIFT 2Easy

Resonance, Bandwidth & Q Factor

In an LC circuit, angular frequency at resonance is ω\omega. The new angular frequency when inductance is made four times and capacitance is made eight times is

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Answer: (b)

  1. ω∝1LC\omega \propto \dfrac{1}{\sqrt{LC}}
  2. L′C′=4L×8C=32LCL'C' = 4L \times 8C = 32LC
  3. ω′=ω32=ω42\omega' = \dfrac{\omega}{\sqrt{32}} = \dfrac{\omega}{4\sqrt{2}}. So the answer is (b).
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