Q120 / 160 · JIPMER 2005 · Physics

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?

  • Correct answer
    A
    1007 Hz
  • B
    100 Hz
  • C
    109 Hz
  • D
    500 Hz

Solution

From the formula, the frequency of oscillation is $\begin{aligned} f & =\frac{1}{2 \pi \sqrt{L C}} \\ & =\frac{1}{2 \pi \sqrt{0.25 \times 0.1 \times 10^{-6}}} \\ & =1007 \mathrm{~Hz}\end{aligned}$

Hence, the correct answer is option: 'A'.

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