Question

The fictitious element homer decays into fictitious daughter element Lisa with a half-life of 1000 years. a rock is found that contains 2 moles of homer and 6 moles of Lisa. what is the approximate age of the rock?

A. 1000 years
B. 500 years
C. 2000 years
D. 4000 years

Answer 1

C. 2000 years

Explanation:

Data provided in the question

Half life = 1,000 years

Number of homer moles contained = 2

And, for lisa = 6

Based on the above information, the computation is shown below:

But before that we need to do the following calculations

Total moles by combing the homer and lisa is

= 2 moles + 6 moles

= 8 moles

Now the present fraction of homer is

`= (2\ moles)/(8\ moles)`

`= (1)/(4)`

`= (1)/(2^2)`

Therefore the approximate age of rocks is

`= 1,000\ years * 2`

= 2,000 years

Hence, the correct option is c.