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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`.

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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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