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JEE Main 28 June 2022 Shift 2 Solved Paper
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© examsnet.com
Question : 48
Total: 90
Following statements related to radioactivity are given below :
(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.
(B) The number of un-decayed nuclei in the radioactive sample decays exponentially with time.
(C) Slope of the graph of
log
e
(no. of undecayed nuclei) Vs. time represents the reciprocal of mean life time
(
τ
)
.
(D) Product of decay constant
(
λ
)
and half-life time
(
T
1
∕
2
)
is not constant.
Choose the most appropriate answer from the options given below :
[28-Jun-2022-Shift-2]
(A) and (B) only
(
B
)
and
(
D
)
only
(
B
)
and
(
C
)
only
(C) and (D) only
Validate
Solution:
Radioactive decay is a random and spontaneous process it depends on unbalancing of nucleus.
N
=
N
0
e
−
λ
t
.
.
.
.
.
(
B
)
ln
N
=
−
λ
t
+
ln
N
0
So, slope
=
−
λ
.
.
.
.
. (C)
t
1
∕
2
=
ln
2
λ
So
t
1
∕
2
×
λ
=
ln
2
=
Constant
© examsnet.com
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