Nuclear Physics And Radioactivity Question 329

Question: A radio isotope has a half life of 75 years. The fraction of the atoms of this material that would decay in 150 years will be [BHU 1997]

Options:

A) 66.6%

B) 85.5%

C) 62.5%

D) 75%

Show Answer

Answer:

Correct Answer: D

Solution:

Number of half lives in 150 years $ n=\frac{150}{75}=2 $ Fraction of the atom of decayed $ =1-{{( \frac{1}{2} )}^{n}} $ $ =1-{{( \frac{1}{2} )}^{2}}=\frac{3}{4}=0.75 $

Þ Percentage decay = 75%