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Question
Physics
87221 undergoes radioactive decay with a half-life of 4 days. The probability that a Ra nucleus will disintegrate in 8 days is
Q.
87
221
undergoes radioactive decay with a half-life of
4
days. The probability that a
R
a
nucleus will disintegrate in
8
days is
2110
136
Jharkhand CECE
Jharkhand CECE 2015
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A
2
1
B
8
3
C
4
1
D
4
3
Solution:
Number of half-lives
n
=
4
8
=
2
As,
N
=
2
n
N
0
=
2
2
N
0
=
4
N
0
Thus, remaining atom
N
=
4
N
0
Decayed atoms
=
N
0
−
N
=
N
0
−
4
N
0
=
4
3
N
0
∴
Probability of decay
=
N
0
N
0
−
N
=
N
0
4
3
N
0
=
4
3