Nuclear Physics And Radioactivity Question 363

Question: 10 gm of radioactive material of half-life 15 year is kept in store for 20 years. The disintegrated material is [Pb. PMT 2002]

Options:

A) 12.5 g

B) 10.5 g

C) 6.03 g

D) 4.03 g

Show Answer

Answer:

Correct Answer: C

Solution:

Remaining material $ N=\frac{N_{0}}{{{2}^{t/T}}} $
$ \Rightarrow N=\frac{10}{{{(2)}^{20/15}}}=\frac{10}{2.15}=3.96\ gm $ So decayed material $ =10-3.96=6.04\ gm $