A piece of fossilized wood demonstrates 9.6^14 C decay events per minute. How ol

Question

A piece of fossilized wood demonstrates 9.6^14 C decay events per minute. How old is this piece of fossilized wood, if when it was living matter, maintained a constant level of^14 C at 53.4 decay events per minute? Given^14 C has a radioactive nucleus with a half life of 5760 years. The work function of metallic rubidium is 2.09 eV. Calculate the kinetic energy and the speed of the electrons ejected by light of wavelength 650 nm. Provide short definitions or descriptions for (a) - (d). a. Heisenberg Uncertainty Principle- b. Probability density according to the Born interpretation- c. Quantization- d. Planck's energy quantization concept- e. The de Broglie relation-

Explanation / Answer

4.

First calculate rate constant of radioactive decay (k),

k = 0.693 / t1/2

k= 0.693 / 5760 yrs = 1.203*10-4 yrs-1

So, put the above value in given equation to calculate the age of piece of fossilized wood

t = ln (N0/N) / k = ln (53.4/9.6) / (1.203*10-4 yrs-1)

t = 14264.74 yrs

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