Explanation
$$\textbf{Part 1: Explanation for X}$$
When $$CrO_{4}^{2-}$$ is put in acidic medium, it changes its colour from yellow to orange by forming $$Cr_{2}O_{7}^{2-}$$.
$$2CrO_{4}^{2-}+H^+\rightleftharpoons Cr_{2}O_{7}^{2-}$$
So, X is acidic medium $$(H^+)$$.
$$\textbf{Part 2: Explanation for Y}$$
When $$Cr_{2}O_{7}^{2-}$$ is put in basic medium, it changes its colour from orange to yellow by forming $$CrO_{4}^{2-}$$.
$$Cr_{2}O_{7}^{2-}+OH^-\rightleftharpoons 2CrO_{4}^{2-}$$
The two rows that are generally placed underneath the main Periodic Table are called the lanthanide series and the actinide series.
These two rows are produced when electrons are being added to f orbitals.
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