Select your language

Suggested languages for you:
Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q.47b.

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1237

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

What is the age in years of a bone in which the ratio is measured to be ?

The age of bone is 17,058.783 years.

See the step by step solution

Step by Step Solution

Step.1.

Ratio of to in living organisms is,

Ratio of to in bone is,

As ,

Therefore,

Step.2.

Decay equation in terms of half-life is,

Here, is the present number of atoms, represent the initial number of atoms atoms and represents the half-life of .

Substitute 5730 years for and 0.127 for ,

Take natural log on both sides,

Step.3.

Hence, the age of bone is 17,058.783 years.

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.