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JEE Main 2023 (25 Jan, Shift 1) · LC Oscillations

LC Oscillations question from JEE Main 2023 (25 Jan, Shift 1)

Q12JEE Main 2023 · 25 JAN · SHIFT 1Easy

LC Oscillations

In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes $x$ times its initial resonant frequency $\omega_0$ . The value of $x$ is:

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Answer: (a)

$\omega_0 = \frac{1}{\sqrt{LC}}$
$L\to 2L$ , $C\to 8C$ : $LC \to 16LC$
$\omega' = \frac{\omega_0}{4}$ , so $x = 1/4$ , answer (a).

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