# Obtain Approximately the Ratio of the Nuclear Radii of the Gold Isotope 19797au97197au and the Silver Isotope 19747ag47197ag. - Physics

Obtain approximately the ratio of the nuclear radii of the gold isotope ""_97^197 Au and the silver isotope ""_47^197Ag.

#### 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.

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#### APPEARS IN

NCERT Class 12 Physics Textbook
Chapter 13 Nuclei
Q 11 | Page 463

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