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Questions  

The mean lives of a radioactive substance are 1620 years and 405 years for α -emission and  β-emission respectively. The time during which three fourth of a sample will decay if it is decaying both by α -emission and  β-emission simultaneously.

a
449 years
b
349 years
c
249 years
d
149 years

detailed solution

Correct option is A

Total decay constant is λ=1τ1+1τ2=11620+1405=1324sec-1 t=1λln4=324×ln4=449 yr

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