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प्रश्न
Obtain approximately the ratio of the nuclear radii of the gold isotope `""_97^197 "Au"` and the silver isotope `""_47^197"Ag"`.
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उत्तर
Nuclear radius of the gold isotope `""_79"Au"^197` = RAu
Nuclear radius of the silver isotope `""_47"Ag"^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.
संबंधित प्रश्न
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The atomic mass of Uranium `""_92^238"U"` is 238.0508 u, while that of Thorium `""_90^234"Th"` is 234.0436u, and that of Helium `""_2^4"He"` "is 4.0026u. Alpha decay converts `""_92^238"U"` into `""_92^234"Th"` as, shown below:
`""_92^238"U" -> ( ""_90^234"Th" + ""_2^4"He" + "Energy" )`
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