An alloy is composed of two radioactive materials 
and 
having equal weight. The half life of 
and 
are 10 yrs and 20 yrs respectively. After time 
, the alloy was found to consist of 
of 
and 
of 
. If the atomic weight of 
and 
are same, then the value of 
is (Assume, 
)
A
B
C
D
70 yrs
Text Solution
Verified by ExpertsThe correct answer is:
A
…..(i)
Half life of element 
year and half life of element 
year
After time 
, remaining the amount of element 
,
and remaining amount of element 
,
For 
,
……(ii)
For 
,
Dividing Eqs. (ii) and (iii),
Taking log on the both sides, we get 
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