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Standard XII
Physics
Nucleus: Common Terms
The activity ...
Question
The activity of two radioactive nuclei Q and R is plotted on a semi-log graph
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Q.
The activity of two radioactive nuclei Q and R is plotted on a semi-log graph. The half-life and decay constant of Q and R are (
τ
Q
,
λ
Q
) and (
τ
R
,
λ
R
) respectively. The plot implies that (the symbol "
≈
" means "approximately equal to")
Q.
A radioactive sample has
8.0
×
10
18
active nuclei at a certain instant. How many of these nuclei will still be in the active state after two half-lives (in
×
10
18
)
?
Q.
A radioactive substance has
6.0
×
10
18
active nuclei initially. The time that should be required for the active nuclei of the same substance to become
1.0
×
10
18
is (if its half life is
40
s
,log
10
6
=
0.7781
)
Q.
To determine the half life of a radioactive element a student plots a graph of
l
n
∣
∣
∣
d
N
(
t
)
d
t
∣
∣
∣
versus
t
. Here
d
N
(
t
)
d
t
is the rate of radio active decay at time
t
. If the number of radio active nuclei of this element decreases by a factor of
p
after
4.16
y
e
a
r
s
, the value
p
is:
Q.
Two radioactive substances X and Y initially contain equal number of nuclei. X has a half - life of 1 hour and Y has a half - life of 2 hours. After two hours, the ratio of the activity of X to the activity of Y is:-
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