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JEE Main 2023 · 25 Jan · Shift 1

JEE Main 2023 Physics question on Electromagnetic Induction and AC

In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes xx times its initial resonant frequency ω0\omega_0. The value of xx is:
  1. A.
    1/161/16
  2. B.
    1616
  3. C.
    44
  4. D.
    1/41/4
Show answer and solution

Correct option: D

Solution

The resonant frequency is ω = 1/√(LC). When L → 2L and C → 8C, the new frequency is ω' = 1/√(2L · 8C) = 1/√(16LC) = (1/4) · 1/√(LC) = ω₀/4. So x = 1/4.

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