On the basis of quantum number, which period of the periodic table should have 32 elements.

Explanation

According to Aufbau principle, the electrons occupy in increasing order of energies, therefore in the sixth period, electrons can be filled in only `6s`,`4f`,`5d`, and `6p` subshells whose energies increase in the order:
`6slt4flt5dlt6p`
Total electrons in `6th` period
`=6s^(2)+4f^(14)+5d^(10)+6p^(6)`
`=(2+14+10+6)=32`
Hence, `6th` period has `32` elements.