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Physics
Physics
Problem
What is the correct expression for the decay constant
λ
\lambda
λ
in terms of the half-life
t
1
/
2
t_{1/2}
t
1/2
of a radioactive isotope? a)
λ
=
1
t
1
/
2
\displaystyle \lambda = \frac{1}{t_{1/2}}
λ
=
t
1/2
1
b)
λ
=
2
t
1
/
2
\displaystyle \lambda = \frac{2}{t_{1/2}}
λ
=
t
1/2
2
c)
λ
=
ln
2
t
1
/
2
\displaystyle \lambda = \frac{\ln 2}{t_{1/2}}
λ
=
t
1/2
ln
2
d)
λ
=
1
t
1
/
2
ln
2
\displaystyle \lambda = \frac{1}{t_{1/2}\,\ln 2}
λ
=
t
1/2
ln
2
1
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