JEE Main 2022 — Alternating Current Question with Solution

A circuit element $$\mathrm{X}$$ when connected to an a.c. supply of peak voltage $$100\mathrm{V}$$ gives a peak current of $$5\mathrm{A}$$ which is in phase with the voltage. A second element $$\mathrm{Y}$$ when connected to the same a.c. supply also gives the same value of peak current which lags behind the voltage by $$\frac{\pi }{2}$$. If $$\mathrm{X}$$ and $$\mathrm{Y}$$ are connected in series to the same supply, what will be the rms value of the current in ampere?