Outermost electronic configuration of a group 13 element, E, is 4s$$^2$$, 4p$$^1$$. The electronic configuration of an element of p-block period-five placed diagonally to element, E is:

Element E has outermost configuration $$4s^2 4p^1$$, which places it in group 13, period 4. This is Gallium (Ga).

The diagonal relationship in the periodic table occurs between elements that are one period down and one group to the right. The element diagonally related to Ga (period 4, group 13) in the p-block of period 5 would be in period 5, group 14 — this is Tin (Sn).

The electronic configuration of Tin (Sn, Z = 50) is [Kr] $$4d^{10}5s^2 5p^2$$.

This matches option 4: [Kr] $$4d^{10}5s^2 5p^2$$.