The atomic size of an element is ---------
Inversely proportional to the effective nuclear charge
Explanation for the correct option: (d)
Explanation for incorrect options:
a) The atomic size of an element is not directly proportional to the nuclear charge. It is inversely proportional to the nuclear charge.
b) The atomic size of an element is not directly proportional to the number of valence electrons.
c) The atomic size of an element is inversely proportional to the effective nuclear charge not to the number of core electrons.
Hence option (d) is correct and the atomic size of an element is inversely proportional to the effective nuclear charge.