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Physics · Alternating Current

NEET (UG) 2023 — Question 5

In a series LCRL C R circuit, the inductance LL is 10 mH , capacitance CC is 1μ F1 \mu \mathrm{~F} and resistance RR is 100Ω100 \Omega. The frequency at which resonance occurs is :

  1. Option A:

    15.9 kHz

  2. Option B:

    1.59rad/s1.59 \mathrm{rad} / \mathrm{s}

  3. Option C:

    1.59 kHz

    Correct
  4. Option D:

    15.9

Answer: C

Step-by-step solution

 For resonance frequency =12πLC⇒f=12×π×10×10−3×1×10−6=1042π=1.591×103=1.591kHz\begin{aligned} & \text { For resonance frequency }=\frac{1}{2 \pi \sqrt{L C}} \\ & \begin{aligned} \Rightarrow \quad f & =\frac{1}{2 \times \pi \times \sqrt{10 \times 10^{-3} \times 1 \times 10^{-6}}}=\frac{10^4}{2 \pi} \\ & =1.591 \times 10^3 \\ & =1.591 \mathrm{kHz}\end{aligned}\end{aligned}

Answer key and solution verified before publishing.

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Exam
NEET (UG) 2023
Paper
2023 paper
Subject
Physics
Chapter
Alternating Current
Topic
L-C Circuits oscillations and Quality Factor, Resonance

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