An L.C. circuit is in the state of resonance. If C=0.1 μ F and L=0.25 Henry. Neglecting ohmic resistance of circuit. What is the frequency of oscillations?

Correct answer: A. 1007 Hz From the formula, the frequency of oscillation is aligned f & = 1 2 π L C & = 1 2 π 0.25 × 0.1 × 10^ -6 & =1007 ~Hz aligned

JIPMER 2005

Exam: JIPMER
Year: 2005
Subject: Physics
Chapter: Alternating Current

JIPMER 2005 · Physics · Alternating Current

An L.C. circuit is in the state of resonance. If C=0.1 μ F and...

An L.C. circuit is in the state of resonance. If

C=0.1 \mu \mathrm{F}

and

L=0.25

Henry. Neglecting ohmic resistance of circuit. What is the frequency of oscillations?

Options

A1007 Hz
B100 Hz
C109 Hz
D500 Hz

Correct answer

A. 1007 Hz

Step-by-step solution

From the formula, the frequency of oscillation is

\begin{aligned} f & =\frac{1}{2 \pi \sqrt{L C}} \\ & =\frac{1}{2 \pi \sqrt{0.25 \times 0.1 \times 10^{-6}}} \\ & =1007 \mathrm{~Hz}\end{aligned}

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