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Physics
Physics
Problem
Isotope A has a decay constant that is twice that of isotope B
(
λ
A
=
2
λ
B
)
(\lambda_A = 2\lambda_B)
(
λ
A
=
2
λ
B
)
. Which statement about their half-lives is correct? a)
T
1
/
2
,
A
=
2
T
1
/
2
,
B
T_{1/2,A}=2\,T_{1/2,B}
T
1/2
,
A
=
2
T
1/2
,
B
b)
T
1
/
2
,
A
=
1
2
T
1
/
2
,
B
T_{1/2,A}=\dfrac{1}{2}\,T_{1/2,B}
T
1/2
,
A
=
2
1
T
1/2
,
B
c)
T
1
/
2
,
A
=
2
T
1
/
2
,
B
T_{1/2,A}=\sqrt{2}\,T_{1/2,B}
T
1/2
,
A
=
2
T
1/2
,
B
d)
T
1
/
2
,
A
=
T
1
/
2
,
B
T_{1/2,A}=T_{1/2,B}
T
1/2
,
A
=
T
1/2
,
B
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