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Q Half life of radium is 1600 years . 2 grams of radium metal  will be reduced to 0.125 grams in

Asked by vikasg13.hardware 15th November 2017, 1:39 PM
Answered by Expert
Answer:
Half space life space straight t subscript bevelled 1 half end subscript equals fraction numerator 0.693 over denominator straight lambda end fraction
space space space space 1600 space equals fraction numerator 0.693 over denominator straight lambda end fraction
space space space space straight lambda space equals space fraction numerator 0.693 over denominator space space 1600 end fraction
space space space space space space space equals 4.33 cross times 10 to the power of negative 4 end exponent space year to the power of minus

straight t subscript bevelled 1 half end subscript space equals fraction numerator 2.303 over denominator straight lambda end fraction cross times log straight N subscript 0 over straight N

straight t subscript bevelled 1 half end subscript equals space fraction numerator 2.303 over denominator 4.33 cross times 10 to the power of negative 4 end exponent end fraction cross times log fraction numerator 2 over denominator straight o.125 end fraction
space space space space space equals space 5318.70 cross times 1.2041
space space space space space equals space 6404 space year space
Answered by Expert 15th November 2017, 2:39 PM
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