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Question
How can we determine the age of those fossils which are quite old and their radioactive isotopes have been completely emitted?

Answer
Hi Pooja:  Thanks for your question.

Most of the time when scientists analyze the age of rocks (containing fossils), they use more than one radioisotope.  This provides a check on each method.

Some isotopes decay very fast (seconds), some longer (thousand of years) and some very long indeed (billions of years).

The longest decay rate is that of uranium-235 decay to lead-206, which takes about 4.5 billion years.

If you need a refresher on radioisotope decay and the Periodic Table of the Elements, to go:
http://ie.lbl.gov/education/isotopes.htm

The various isotopes relate to the structure of the atom.  Atoms have protons and neutrons in their nuclei, with electrons located in a cloud circling the nucleus.  Each element has a fixed number of positively charged protons in the nucleus.  The number of neutrons can change, however, giving the various numbers that you saw above.  For example, Lead (Pb) can exist in 46 different isotopes, each with its own half life.

So, in answer to your question, if half the amount of U235 decays in 4.5 billion years, it would take a really long time before there were no more isotopes around.  There are no fossils older than the age of the earth, so the answer to your question is that there are no fossils in which all the isotope has decayed.

Here is more information on radiometric dating:

http://www.youtube.com/watch?v=YpJH6cLPcvI&feature=related

http://en.wikipedia.org/wiki/Radiometric_dating

I hope this answer has helped you.  Please write back if you have more questions.

FM Rollwagen, PhD

Biology

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Florence M Rollwagen

Expertise

I can answer questions in biology, microbiology and immunology on the undergraduate or graduate level. I can also address medical and health concerns regarding alternative medicine, autoimmune diseases (lupus, MS) liver disease and intestinal problems.

Experience

I have over 20 years experience in research and teaching at the medical/graduate level, and 5 years teaching college biology and microbiology. My expertise is in microbiology and immunology, specifically the biology of cytokines and soluble immune response modifiers. I also carried out original research in blood substitutes and shock/trauma.

Organizations
American Association of Immunologists (AAI) American Association for the Advancement of Science (AAAS)

Publications
Journal of Experimental Medicine, Journal of Immunology, Cytokine, Shock, Experimental Hematology

Education/Credentials
BS biology 1966 MS biology 1968 PhD immunology 1979

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