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`""_(92)^(238)"U"` की अर्द्ध-आयु `alpha`-कण के विरुद्ध `4.5xx10^(9)` वर्ष है | `""_(92)^(238)"U"` के 1 ग्राम नमूने की सक्रियता की गणना कीजिए |

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दिया है - अर्द्ध आयु `T_(1//2)=4.5xx10^(9)` वर्ष
`=4.5xx10^(9)xx365xx24xx60xx60` सेकण्ड
`1419120xx10^(11)=1.42xx10^(17)` सेकण्ड
किसी पदार्थ के 1 ग्राम मोल में एवोगैड्रो संख्या `(6.025xx10^(23))` के बराबर परमाणु होते हैं |
अत: 1 ग्राम `""_(92)^(238)"U"` में परमाणुओं की संख्या
`N=(6.025xx10^(23))/(238)xx1=2.53xx10^(21)`
अब सूत्र `R=lambdaN(0.6931)/(T_(1//2))N`
`=(0.6931)/(1.42xx10^(17))xx2.53xx10^(21)`
`=1.23xx10^(4)` बैकेरल (Bq).

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