Question Detail
Question
The resonant frequency of a circuit is 1000KHz. If each of the capacitance and inductance in the circuit is reduced by 50% and no other changes are made, the resonant frequency will become
Correct Answer
Option B is the correct answer.
Detailed Explanation
f = 1/(2π√(LC)). If L→L/2 and C→C/2, then LC→LC/4, √(LC)→½√(LC), so f doubles to 2000 kHz.
Hint
f ∝ 1/√(LC). Halving both L and C doubles f.