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Q.

The mean lives of a radio active substance are 1620 years and 405 years for α−emissions and β emissions respectively. Then the effective mean life of the substance for both α and β emissions is

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Detailed Solution

λedt=λ1dt+λ2dt⇒1Te=1T1+1T2⇒Te=T1T2T1+T2∴ Te=(1620×4051620+405) years = 324 years
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