A pure resistive circuit element \( \mathrm{X} \) when connected to...

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A pure resistive circuit element \( \mathrm{X} \) when connected to an AC supply of peak voltage \( 200 \mathrm{~V} \) gives a peak current of \( 5 \mathrm{~A} \) which is in phase with the voltage. A second circuit element \( Y \), when connected to the same AC supply also gives the same value of peak current but the current lags behind by \( 90^{\circ} \). If the series combination of \( X \) and \( Y \) is connected to the same supply, what will be the rms value of current ?
(A) \( \frac{10}{\sqrt{2}} \mathrm{amp} \)
(B) \( \frac{5}{\sqrt{2}} \) amp
(C) \( \frac{5}{2} \mathrm{amp} \)
(D) \( 5 \mathrm{amp} \)
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