Nuclear Chemistry Question 11

Question: Percentage of a radioactive element decayed after 20 sec when half-life is 4 sec

[BHU 2003]

Options:

A) 92.25

B) 96.87

C) 50

D) 75

Show Answer

Answer:

Correct Answer: B

Solution:

$ n=\frac{20}{4}=5,\frac{N _{t}}{N _{o}}={{( \frac{1}{2} )}^{5}}=\frac{1}{32},\therefore decayed $

$ =( \text{1–}\frac{1}{32} )\times 100=\frac{31}{32}\times 100=96.87 $ .