

The concept written above is wrong. S orbitals are always more attracted towards the nucleus because the do not have nodes, that is the probability of finding the electron is maximum at the centre. So it is strongly attracted to by the positively charged nucleus. However, as the distance increases, (as in the question, from 2S to 6S), the nuclear attraction decreases to some extent because of the steric effects of the orbitsls that come in between, like the 2P, 3S and 3P, 4S, 4P and 4D, 5S, 5P and 5D, which comes in between the 2S and 6S orbitals.
