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For a radioactive substance with decay constant and initial number of nuclei at
CHEMISTRY · Single correct · ISC · Mathematics · Physics · Calculus
Problem
For a radioactive substance with decay constant
λ
\lambda
λ
and initial number of nuclei
N
0
N_0
N
0
at
t
=
0
t=0
t
=
0
, which one of the following gives the number of nuclei
N
(
t
)
N(t)
N
(
t
)
remaining at time
t
t
t
? (a)
N
(
t
)
=
N
0
e
−
t
/
λ
N(t)=N_0\,e^{-t/\lambda}
N
(
t
)
=
N
0
e
−
t
/
λ
(b)
N
(
t
)
=
N
0
e
λ
t
N(t)=N_0\,e^{\lambda t}
N
(
t
)
=
N
0
e
λ
t
(c)
N
(
t
)
=
N
0
e
−
λ
t
N(t)=N_0\,e^{-\lambda t}
N
(
t
)
=
N
0
e
−
λ
t
(d)
N
(
t
)
=
N
0
2
−
λ
t
N(t)=N_0\,2^{-\lambda t}
N
(
t
)
=
N
0
2
−
λ
t
Related theory
Chemical Kinetics
Separation of Variables
Exponential and Logarithmic Functions
Differential Equations
Radioactive decay
Logarithmic Functions
Nuclear physics
Radioactivity
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