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JEE Main 27 July 2021 Shift 1 Solved Paper
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© examsnet.com
Question : 14
Total: 90
If '
f
denotes the ratio of the number of nuclei decayed
(
N
d
)
to the number of nuclei at
t
=
0
(
N
0
)
then for a collection of radioactive nuclei, the rate of change of
f
′
with respect to time is given as :
[
λ
is the radioactive decay constant]
[27 Jul 2021 Shift 1]
−
λ
(
1
−
e
−
λ
t
)
λ
(
1
−
e
−
λ
t
)
λ
e
−
λ
t
−
λ
e
−
λ
t
Validate
Solution:
N
=
N
0
e
−
λ
t
N
d
=
N
0
−
N
N
d
=
N
0
(
1
−
e
−
λ
t
)
N
d
N
0
=
f
=
1
−
e
−
λ
t
d
f
d
t
=
λ
e
−
λ
t
© examsnet.com
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