1.) A wooden casket is thought to be 15700 years old. How much carbon would have

Question

1.)

A wooden casket is thought to be 15700 years old. How much carbon would have to be recovered from the object to yield a 14C counting rate of no less than 10counts/min with a detection efficiency of 20 percent?
g

2)

(a) Use the following equation

to show that after N head-on collisions of a neutron with carbon nuclei at rest, the energy of the neutron is approximately (0.714)NE0, where E0 is its original energy. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) How many head-on collisions are required to reduce the energy of the neutron from 2.3 MeV to 0.03 eV, assuming stationary carbon nuclei?

3)

A wooden casket is thought to be 15700 years old. How much carbon would have to be recovered from the object to yield a 14C counting rate of no less than 10counts/min with a detection efficiency of 20 percent?
g

Explanation / Answer

minutes = 15700*365*24*60 = 8.2519*10^9 minutes

eff= 20

req rate   = 8/20 *100 =40 counts/min

leap yesrs =3925

no of minutes =

15700*365*24*60 *40 +3925*24*60*40

=

330302880000

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