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IIT JEE Advanced 2006 Paper 1
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© examsnet.com
Question : 5
Total: 120
Given a sample of Radium-226 having half-life of 4 days. Find the probability, a nucleus disintegrates after 2 half-lives.
1
1/2
1.5
3/4
Validate
Solution:
The probability for the decay is
1
−
e
−
λ
t
t =
2
t
1
2
=
2
(
l
n
2
λ
)
.
Therefore,
P (decay) =
1
−
e
−
λ
2
(
l
n
2
)
λ
=
1
−
e
−
l
n
4
= 1 -
1
4
=
3
4
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