Exercise
https://texercises.com/exercise/fossil-of-ancient-animal/
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
The rubidium isotope isotopeRb is a beta^- emitter with halflife pq.ea. A certain rock contains a fossil of an ancient animal; scientists determine in this rock a ratio of isotopeSr to isotopeRb of numpr.. Asing there was no isotopeSr present when the rock was formed estimate the age of the fossil.

Solution:
If there was no Strontium present in the ``ning" all Strontium origins from beta^--decays of Rubidium. The number of Strontium isotopes we observe later is then tilde N N_ - N_t where N_ denotes the number of Rubidium isotopes in the ning and N_t the number at a later time t. Since N_t N_ e^-lambda t quad textand N_ N_t e^+lambda t for any radioactive decaying isotope we can for the amount of Strontium write tilde N N_t e^+lambda t - N_t lefte^+lambda t-right N_t. The radio of Strontium to Rubidium is given therefor we can solve the last for the age of the fossil: t fraclambda left+fractilde NN_tright fracT_hln left+fractilde NN_tright pq.ea.
Report An Error
You are on texercises.com.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
Exercise:
The rubidium isotope isotopeRb is a beta^- emitter with halflife pq.ea. A certain rock contains a fossil of an ancient animal; scientists determine in this rock a ratio of isotopeSr to isotopeRb of numpr.. Asing there was no isotopeSr present when the rock was formed estimate the age of the fossil.

Solution:
If there was no Strontium present in the ``ning" all Strontium origins from beta^--decays of Rubidium. The number of Strontium isotopes we observe later is then tilde N N_ - N_t where N_ denotes the number of Rubidium isotopes in the ning and N_t the number at a later time t. Since N_t N_ e^-lambda t quad textand N_ N_t e^+lambda t for any radioactive decaying isotope we can for the amount of Strontium write tilde N N_t e^+lambda t - N_t lefte^+lambda t-right N_t. The radio of Strontium to Rubidium is given therefor we can solve the last for the age of the fossil: t fraclambda left+fractilde NN_tright fracT_hln left+fractilde NN_tright pq.ea.
Contained in these collections

Similar exercises (3)
Title Creator Matched on
Beryllium on leaf of a plant uz tags
Decay Chain by tags
Three-Stage Decay Chain by tags

Attributes & Decorations
Tags
dating, decay, physics, radioactivity
Difficulty
(3, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image