Nuclear Physics And Radioactivity Question 340

Question: If half-life of a substance is 3.8 days and its quantity is 10.38 gm. Then substance quantity remaining left after 19 days will be [RPMT 2000; AFMC 2002]

Options:

A) 0.151 gm

B) 0.32 gm

C) 1.51 gm

D) 0.16 gm

Show Answer

Answer:

Correct Answer: B

Solution:

Number of half lives $ n=\frac{19}{3.8}=5; $ Now $ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}} $
$ \Rightarrow \frac{N}{10.38}={{( \frac{1}{2} )}^{5}}\Rightarrow N=10.38\times {{( \frac{1}{2} )}^{5}} $ $ =0.32gm $