In an L-C-R circuit inductance is changed from L to L/2.To keep the same resonance frequency, C should be changed to

2 C

$\frac{C}{2}$

4 C

$\frac{C}{4}$

Solution

2 C

An LCR circuit is an electrical circuit consisting of Resistor (R), an inductor (L) and a capacitor (C), connected in series or in parallel.

$ω = \frac{1}{\sqrt{L C}}$

When L is changed, C must be changed to 2C to keep to ω same i.e to balanced equation.

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