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Question 1
How could the modern periodic table remove various anomalies of Mendeleev's periodic table?

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Solution

Various anomalies of Mendeleev’s periodic table was removed as follows in the modern periodic table:
Elements are arranged in the increasing order of their atomic number in modern periodic table, thus there was no need for keeping more than one element in one slot.
In the modern periodic table there was no problem for the placement of isotopes, as isotopes have different atomic masses but same atomic numbers.
Elements having same valence electron are kept in the same group.
Elements having same number of shells were put under the same period.

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