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In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1 μF and resistance R is 100 Ω. The frequency at which resonance occurs is

Asked in NEET 2023 · Resonance condition and tuning

Answer: (3) 1.59 kHz

Step-by-step solution

f₀=1/(2π√LC), with R playing no part.

LC=(10×10⁻³)(1×10⁻⁶)=10⁻⁸ s², so

√LC=10⁻⁴ s.

f₀=1/(2π×10⁻⁴)=1592 Hz=1.59 kHz.

The units matter here: the answer is a frequency in hertz, and two of the options quote

rad s⁻¹ instead.

Why the other options are wrong

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