Obtain approx. the ratio of the nuclear radii of the gold isotope `._79Au^(197)` and silver isotope `._47Ag^(107)`.

Explanation

Nuclear radius of the gold isotope `""_(79)Au^(197)=R_(Au)`
Nuclear radius of the silver isotope `""_(47)Ag^(107) = R_(Aq)`
Mass number of gold, `A_(Au)` = 197
Mass number of silver, `A_(Ag)` = 107
The ratio of the radii of the two nuclei is related with their mass numbers as:
`(R_(Au))/(R_(Ag))=((R_(Au))/(R_(Ag)))^(1/3)`
`=(197/107)^(1/3)=1.2256`
Hence, the ratio of the nuclear radii of the gold and silver isotopes is about 1.23.