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# The ratio of radioactive and non radioactive form of an element in sample of rock is 1:7.Estimate the age of rock if the half life of radioactive element is 3.1 billion years. 1-3.1billion years, 2-9.3billion years

Asked by Priyanka 12th November 2017, 1:16 PM

It is possible to determine the age of rocks by the method of radioactive dating.

Given:

The half life (t ½) of the radioactive element = 3.1 billion years.

This means that if we begin with a pure sample of the element, we know that in 3.1 billion years, half of the element will have decayed to another isotope.

This means that subsequent decays have reduced the radioactive element to non-radioactive element and now, the ratio is 1:7

After 1 half life (3.1 billion years) =1/2 remains

After 2 half lives (6.2 billion years) = 1/4 remains

After 3 half lives (9.3 billion years) = 1/8 remains

The given ratio is 1: 7.

So, approximately after 3 half lives, the age of the rock would be 9.3 billion years.

Answered by Expert 13th November 2017, 11:46 AM
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