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An ac circuit contains a resistance of 1 kΩ, a capacitor of 0.1 μF and an inductor of 1 mH connected in series. The resonance frequency of the circuit is approximately:

Asked in NEET 2026 · Resonance condition and tuning

Answer: (4) 15.9 kHz

Step-by-step solution

At resonance X_L=X_C, which gives f₀=1/(2π√LC).

The resistance plays no part in setting the resonant frequency; it only sets how sharp the peak is.

LC=(1×10⁻³)(0.1×10⁻⁶)=10⁻¹⁰ s², so

√LC=10⁻⁵ s.

f₀=1/(2π×10⁻⁵)=1.59×10⁴ Hz=15.9 kHz.

Why the other options are wrong

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