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  • (a) Define the term decay constant of a radioactive substance. (b) The half life of undergoing <img alt="\alpha" src="https://learn.care

(a) Define the term decay constant of a radioactive substance.

(b) The half life of ^{238} _{92} U undergoing \alpha decay is 4.5 \times 10^9 years. Calculate the activity of 10 g sample of ^{238} _{92} U.

 

 

Answers (1)

a) The decay constant of a given radioactive sample is the constant of proportionality between its instantaneous decay rate and the total number of its decaying nuclei at that instant.

b) 

\\\lambda=\frac{0.693}{4.5\times10^{9}}years

Number of atoms in 10g sample of _{92}^{238}U

N=\frac{10}{238}\times6.02\times10^{23}\ atoms

\\R=\frac{0.693}{4.5\times10^{9}}\times\frac{10}{238}\times6.023\times10^{23}atoms/year\\\\R=1.24\times10^{7}atoms/sec

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Safeer PP

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