MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C834D2.D3CF16C0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C834D2.D3CF16C0 Content-Location: file:///C:/D9286902/Fall07.Phys3650.Quiz10.SolutionWeb.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Department of Natural Sciences

 

Clayton State University

Department = of Natural Sciences

 

November 19, = 2007

Physics 365= 0 – Quiz 10

 =

 =

Name  __SOLUTION___________________________________

 

 decays with a half-life of about 53 days. It is produc= ed in the upper atmosphere, and filters down onto the Earth’s surface. If a plant leaf is detected to have  of  how long do= we have to wait for the decay rate to drop to 15 per second?

Ro =3D 450 decays/s

 

R =3D 15.0 decays/s

 

R =3D Roe-l t

 

R/Ro =3D e-l t

 

ln(R/Ro) =3D - l t

 

t =3D ln(R/Ro) /(- l)

 

l =3D ln (2) / T1/2  =3D ln(2)/(53 x 24 x 3600 s) =3D 1.51 x 10-7 1/s

 

t =3D T1/2 ln(R/Ro) /(- ln (2)) =3D (53 days) ln(15/450) /(- ln (2)) =3D 260 days

 

`        Estimate the initial number of  nuclei on t= he leaf.

Ro =3D l No

 

No =3D Ro/ l =3D (450 d= ecays/s) /(1.51 x 10-7  1/s) =3D 2.98 x 109

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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