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Standard XII
Physics
NCERT
Question
The fraction of a radioactive sample that will decay during half of its half life period is
√
2
−
1
√
2
1
√
2
1
√
2
−
1
1
2
A
1
√
2
B
1
√
2
−
1
C
√
2
−
1
√
2
D
1
2
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Solution
Verified by Toppr
Let the half life be
t
1
2
.
Then,
λ
=
0.693
t
1
2
=
l
n
2
t
1
2
N
=
N
o
e
−
⎛
⎜ ⎜
⎝
l
n
2
t
1
2
⎞
⎟ ⎟
⎠
×
t
1
2
2
Ratio of decay
=
N
o
⎛
⎜
⎝
1
−
e
−
l
n
2
2
⎞
⎟
⎠
N
o
=
1
−
e
l
n
1
√
2
=
1
−
1
√
2
=
√
2
−
1
√
2
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