Nuclear Physics And Radioactivity Question 305

Question: The half-life period of a radioactive substance is 5 min. The amount of substance decayed in 20 min will be [MP PMT/PET 1998]

Options:

A) 93.75%

B) 75%

C) 25%

D) 6.25%

Show Answer

Answer:

Correct Answer: A

Solution:

Number of half lives in 20 min = n $ =\frac{20}{5}=4 $ Fraction of material remains after four half lives $ =\frac{1}{16} $ Hence fraction that decays $ =1-\frac{1}{16}=\frac{15}{16}=93.75% $