Nuclear Physics And Radioactivity Question 262

Question: What percentage of original radioactive atoms is left after five half lives [AFMC 1996; RPMT 1996]

Options:

A) 0.3%

B) 1%

C) 31%

D) 3.125%

Show Answer

Answer:

Correct Answer: D

Solution:

Fraction of atoms remains after five half lives $ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{t/T}}={{( \frac{1}{2} )}^{5T/T}}=\frac{1}{32} $

Þ Percentage atom remains $ =\frac{1}{32}\times 100=3.125% $