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Questions  

The mean lives of a radioactive sample are 30 years and 60 years for α-emission and β- emission respectively. If the sample decays both by α-emission and  β-emission
simultaneously, the time after which, only one-fourth of the sample remain is 

a
32.45 years
b
20 years
c
27.72 years
d
45 years

detailed solution

Correct option is C

λe=130+160=120 Now N=N0e-λet =N04=N0e-t20        ⇒t=27.72 yrs

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In a sample of a radioactive substance what fraction of the initial number of nuclei will remain undecayed after time t=T2, T , where T = half-life of radioactive substance


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