Question

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:

• A. $1 / 4$
• B. 4
• C. 16
• D. 1/16

Answer 1

Answer: (A)

$1 / 4$

Answer 2

The resonance frequency of LC oscillations circuit is
ω0​=LC​1​
L→2L
C→8C
ω=2L×8C​1​=4LC​1​
ω=4ω0​​
So x=41​