Flag Modern Physics> A sample of radioactive material a that h...
question mark

A sample of radioactive material a that has an activity of NMC has twice the number of nuclear as other sample of a different radioactive material be which has an activity of 20 MCI the correct choices for half life of a and b would be then respectively

Anushka Dubey , 6 Years ago
Grade 12
anser 1 Answers
Arun
Law of radioactivity -
 
-\frac{dN}{dt}= \lambda N
 
- wherein
 
Ratio of disintegration is propotional to number of nuclei         
 
\lambda= disintegration constant
 
 
 
Activity A = \lambda N
 
For A , A = 2 No \lambda_{A} = 10
 
For B , A = No \lambda_{B} = 20
 
 
 
\frac{10}{20} = \frac{2 \lambda_{A}}{\lambda_{B}}
 
\lambda_{B} = 4 \lambda_{A}
 
t_{\frac{1}{2} }= \frac{ln 2 }{\lambda}
 
\frac{t_{\frac{1}{2}A }}{t_{\frac{1}{2}B }}= \frac{\lambda_{B}}{\lambda_{A}} = \frac{\lambda_{B}}{\frac{\lambda_{B}}{4}} = 4
 
t_{\frac{1}{2}A } = 4 t_{\frac{1}{2}B }
 
So option 20 days and 5 days satisfies this condition .
 
 
Last Activity: 6 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments