Obtain approximately the ratio of the nuclear radii of the gold isotope `""_97^197 Au` and the silver isotope `""_47^197Ag`.
Advertisement Remove all ads
Solution
Nuclear radius of the gold isotope `""_79Au^197` = RAu
Nuclear radius of the silver isotope `""_47Ag^107` = RAg
Mass number of gold, AAu = 197
Mass number of silver, AAg = 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.
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads