Q.Which of the following d block element has half filled penultimate d sub shell as well as half filled valence sub shell?

By the IUPAC definition, a transition metal is an element whose atom has an incomplete d sub-shell, or which can give rise to a cation with an incomplete d sub-shell. Transition metals occupy the central block of the periodic table (groups 3-12), forming a bridge between the highly reactive s-block metals and the mostly non-metallic p-block elements -- their properties are genuinely transitional between the two. Except for the group-11 metals (Cu, Ag, Au), transition metals are hard solids with very high melting points, and they are good conductors of heat and electricity.

There are three complete transition series: the 3d series (Sc to Zn, period 4, 10 elements), the 4d series (Y to Cd, period 5, 10 elements), and the 5d series (La, then Hf to Hg, period 6, 10 elements) -- plus a partial, entirely radioactive 7th-period series (Ac, Rf to Cn) whose members (bar actinium) are all synthetic with very short half-lives. Zn, Cd and Hg (group 12) have a completely filled d¹⁰ configuration in both their elemental and normal +2 states, so strictly they fail the IUPAC test -- but they are conventionally still classed as transition metals because their properties are a direct extension of their transition-metal neighbours.

Following the Aufbau principle, 4s fills before 3d, so 3d filling genuinely begins only at scandium, [Ar]3d¹4s², and completes at zinc, [Ar]3d¹⁰4s². Chromium and copper are the two well-known exceptions: Cr is [Ar]3d⁵4s¹ (not the 'expected' 3d⁴4s²) and Cu is [Ar]3d¹⁰4s¹ (not 3d⁹4s²) -- in both, one 4s electron shifts into 3d to reach the extra-stable half-filled (d⁵) or fully-filled (d¹⁰) configuration, a stability rooted in the symmetrical, exchange-energy-favoured distribution of electrons across the five d orbitals. Accounting for these exceptions, the general configuration of the d-block is Noble gasd¹⁻¹⁰ns¹⁻², n = 4 to 7; in periods 6 and 7 (except La/Ac) this extends to include a filled (n-2)f¹⁴ term, foreshadowing the f-block.