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The resonant frequency of a series LCR circuit is ' $\mathrm{f}$ '. The circuit is now connected to the sinusoidally alternating e.m.f. of frequency ' $2 \mathrm{f}^{\prime}$. The new reactance $\mathrm{X}_{\mathrm{L}}^{\prime}$ and
$\mathrm{X}_{\mathrm{C}}^{\prime}$ are related as

PhysicsAlternating CurrentMHT CETMHT CET 2020 (12 Oct Shift 2)

Options:

A $\mathrm{X}_{\mathrm{C}}^{\prime}=\frac{1}{4} \mathrm{X}_{\mathrm{L}}^{\prime}$
B $\mathrm{X}_{\mathrm{C}}^{\prime}=2 \mathrm{X}_{\mathrm{L}}^{\prime}$
C $\mathrm{X}_{\mathrm{C}}^{\prime}=\mathrm{X}_{\mathrm{L}}^{\prime}$
D $\mathrm{X}_{\mathrm{C}}^{\prime}=\frac{1}{2} \mathrm{X}_{\mathrm{L}}^{\prime}$

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