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Standard XII
Physics
NCERT
Question
10grams of a radioactive element is disintegrated to 1gram in 2.303minutes. The half-life (in minutes) of that radioactive element is:
1
0.693
6.93
1
0.693
A
1
0.693
B
6.93
C
1
D
0.693
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Solution
Verified by Toppr
Using integrate reaction rate:
N
=
N
0
e
−
λ
t
,
t
=
2.303
=
l
n
10
1
=
10
e
−
λ
t
⇒
1
10
=
e
−
λ
l
n
10
⇒
l
n
10
=
λ
l
n
10
⇒
λ
=
1
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