Solve
Study
Textbooks
Guides
Join / Login
>>
Class 12
>>
Physics
>>
Nuclei
>>
First Order Radioactive Decay
>>
The half - life of a radioactive decay i
Question
The half-life of a radioactive decay is
$_{′}x_{′}$
times its mean life. The value of
$x$
is
A
$0.3010$
B
$0.6930$
C
$0.6020$
D
$0.69301 $
Medium
Open in App
Solution
Verified by Toppr
Correct option is B)
We have the relations:
$λ=t_{mean}1 $
$λ=t_{half}ln2 $
Equating the two:
$t_{half}=ln2t_{mean}$
$t_{half}=0.693t_{mean}$
Hence,
$x=0.693$
Was this answer helpful?
0
0
Similar questions
If the half life of a radioactive material is
$100$
days then its half life after
$10$
days will become
Medium
View solution
>
To determine the half life of a radioactive element, student plots a graph of
$ln∣dN(t)/dt∣$
versus
$t$
. Here
$dN(t)/dt$
is the rate of radioactive decay at time
$t.$
If the number of radioactive nuclei of this element decreases by a factor of
$p$
after
$4.16$
years, the value of
$p$
is ......
Hard
View solution
>
Mean life of a radioactive sample is
$100$
$s$
. Find its half life in minutes
Medium
View solution
>
The half life of a radioactive substance, as compared to its mean life, is
Medium
View solution
>
The decay constant of a radioactive sample is
$_{′}λ_{′}$
. The values of its half life and mean life will be respectively be
Medium
View solution
>
View more
More From Chapter
Nuclei
View chapter
>
Revise with Concepts
Law of Radioactive Decay
Example
Definitions
Formulaes
Plot Number of Neutrons vs Protons for Radioactive Decay
Example
Definitions
Formulaes
Half Life
Example
Definitions
Formulaes
Learn with Videos
Law of radioactive decay
8 mins
Radioactive Decay using Differential Equations
9 mins
Half life and mean life of radioactive substances
9 mins
Problems based on radioactive decay
18 mins
Alpha, Beta, and Gamma Decay
14 mins
Practice more questions
NEET Questions
1 Qs
>
Easy Questions
115 Qs
>
Medium Questions
621 Qs
>
Hard Questions
263 Qs
>