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)); halving both L and C makes LC one-quarter of its original value, so f increases by a factor of 2, giving 2000kHz.
Hint
See how f changes when both L and C are scaled by the same factor inside the square root.