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

Correct answer: D. 15.9 kHz Given L = 1 mH = 10^ -3 H and C = 0.1\ = 10^ -7 F . The resonance frequency of a series RLC circuit is given by f_r = 1 2π LC . Substituting the values: f_r = 1 2π 10^ -3 × 10^ -7 f_r = 1 2π 10^ -10 f_r = (10^5)/(2π) Hz f_r = (50)/(π) kHz 15.9 kHz Answer: 15.9 kHz

NEET 2026

Exam: NEET
Year: 2026
Subject: Physics
Chapter: Alternating Current

NEET 2026 · Physics · Alternating Current

An ac circuit contains a resistance of 1 k , a capacitor of 0.1\ μ...

An ac circuit contains a resistance of

1

\Omega

, a capacitor of

0.1\ \mu F

and an inductor of

1

mH connected in series. The resonance frequency of the circuit is approximately :

Options

A $13.5$ kHz
B $10.1$ kHz
C $20.7$ kHz
D $15.9$ kHz

Correct answer

D. $15.9$ kHz

Step-by-step solution

Given

L = 1 \text{ mH} = 10^{-3} \text{ H}

and

C = 0.1\ \mu\text{F} = 10^{-7} \text{ F}

.

The resonance frequency of a series RLC circuit is given by

f_r = \dfrac{1}{2\pi\sqrt{LC}}

.

Substituting the values:

f_r = \dfrac{1}{2\pi\sqrt{10^{-3} \times 10^{-7}}}

f_r = \dfrac{1}{2\pi\sqrt{10^{-10}}}

f_r = \dfrac{10^5}{2\pi} \text{ Hz}

f_r = \dfrac{50}{\pi} \text{ kHz} \approx 15.9 \text{ kHz}

Answer:

15.9

kHz

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