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Physics
Physics
Problem
Which expression gives the total number of nuclei that disintegrate during a time interval
t
t
t
when the initial number of undecayed nuclei is
N
0
N_0
N
0
and the decay constant is
λ
\lambda
λ
? a)
Δ
N
=
N
0
e
−
λ
t
\displaystyle \Delta N = N_0 e^{-\lambda t}
Δ
N
=
N
0
e
−
λ
t
b)
Δ
N
=
N
0
(
1
−
e
−
λ
t
)
\displaystyle \Delta N = N_0\bigl(1-e^{-\lambda t}\bigr)
Δ
N
=
N
0
(
1
−
e
−
λ
t
)
c)
Δ
N
=
N
0
λ
t
\displaystyle \Delta N = N_0\lambda t
Δ
N
=
N
0
λ
t
d)
Δ
N
=
N
0
(
λ
t
)
e
−
λ
t
\displaystyle \Delta N = N_0(\lambda t) e^{-\lambda t}
Δ
N
=
N
0
(
λ
t
)
e
−
λ
t
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