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Question

The half-life of a radioactive isotope ‘X’ is 20 years. It decays to another element ‘Y’ which is stable. The two elements ‘X’ and ‘Y’ were found to be in the ratio 1 : 7 in a sample of a given rock. The age of the rock is estimated to be -
  1. 40 years
  2. 60 years
  3. 100 years
  4. 80 years


Solution

The correct option is B 60 years
Half-life of X TX = 20 years

NN0=11+7=18=12n=123n=3=1T=120
t = 60 years

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