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NEET 2011 Physics question

PhysicsNucleiNEET 2011

The half life of a radioactive isotope 'X' is 50 years. It decays 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 :

Answer: (2)

Solution

Let the original number of X atoms be . Now , so $ =

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Question ID VK-090931