Atoms And Nuclei Question 404
Question: The disintegration rate of a certain radioactive sample at any instant is 4750 disintegrations per minute. Five minutes later the rate becomes 2700 disintegrations per minute. Calculate half-life of the sample.
Options:
A) $ 9.1,\min $
B) $ 6.1,\min $
C) $ 2.3,\min $
D) $ 1.1,\min $
Show Answer
Answer:
Correct Answer: B
Solution:
- We know that the rate of integration $ | -\frac{dN}{dt} |=A $
$ \therefore ,A=A_{0}{{e}^{-\lambda t}} $ or $ 2700=4750,{{e}^{-\lambda \times 5}} $ or $ \lambda =0.1131 $ per minute Half-life minute
