Nuclear Physics And Radioactivity Question 271

Question: The half-life of a radioactive element which has only $ \frac{1}{32} $ of its original mass left after a lapse of 60 days is [MP PET 1992; DPMT 2002]

Options:

A) 12 days

B) 32 days

C) 60 days

D) 64 days

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{N_{0}}{32}=N_{0}{{( \frac{1}{2} )}^{60/T}}\Rightarrow 5=\frac{60}{T}\Rightarrow T=12 $ days