Nuclear Physics and RadioactivityHard
Question
The half life of a radioactive isotope X is 50 years. It decay to another element Y which is stable. The two elements X and Y were found to be in the ratio of 1 : 15 in a sample of a given rock. The age of the rock was estimated to be
Options
A.150 year
B.200 year
C.150 year
D.100 year
Solution
where n is number of half lives
∴
or 
or n = 4Let the age of rock be t years
∵
or, t = nT1/2 = 4 × 50 years = 200 years .
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