Atomic size of gold is almost the same as that of silver due to:
Same crystal structure of silver and gold
The transition metals contraction in a series
The effect of lanthanide contraction
Same electropositive character of two metals
Atomic size of gold is almost same as that of silver because of lanthanide contraction effect.
When we move across the period from La to Lu (i.e. Lanthanide series) the size of atoms decreases more than expected due to the poor shielding effect of f-orbitals. This
phenomenon is known as Lanthanide contraction. As a result of lanthanide contraction, the atomic radii of the 4d and 5d elements are quite similar from group 4.
Hence Option 3 is correct.