JEE Advanced levelOne or more correct optionsDifficulty 3 of 3pt098
Use the following rule set. Slater's rules: write the configuration in groups (1s)(2s,2p)(3s,3p)(3d)(4s,4p)(4d)(4f)(5s,5p)… For an electron in an ns or np group, every other electron in the same group contributes 0.35 (0.30 for the 1s group), every electron in the (n−1) shell contributes 0.85, every electron in the (n−2) or lower shells contributes 1.00, and electrons in groups to the right contribute 0. For an electron in an nd or nf group, every other electron in the same group contributes 0.35, every electron in all groups to its left contributes 1.00, and groups to the right contribute 0. Z∗=Z−S. The valence-electron Z∗ values are evaluated for the third-period elements Na to Cl, each with the configuration (1s)2(2s,2p)8(3s,3p)k. Which statements are correct?
AThe Z∗ of aluminium is smaller than that of magnesium.
BThe Z∗ of sulfur is 5.45.
CThe ratio Z∗(Cl)/Z∗(Na) is 2.77.
DZ∗ increases by 0.65 for every unit increase in atomic number from Na to Cl.
Answer: B, C, D
Each added electron to the 3s,3p group changes S by 0.35 while Z rises by 1, so Z∗ rises by 0.65 per element. Values: Na 2.20, Mg 2.85, Al 3.50, S 5.45, Cl 6.10. Z∗(Cl)/Z∗(Na)=2.77. Al (3.50) is larger than Mg (2.85).