Nuclear Physics And Radioactivity Question 383

Question: The half-life of radium is about 1600 years. Of 100 g of radium existing now, 25 g will remain unchanged after [CBSE PMT 2004]

Options:

A) 2400 years

B) 3200 years

C) 4800 years

D) 6400 years

Show Answer

Answer:

Correct Answer: B

Solution:

$ M=M_{0}{{( \frac{1}{2} )}^{\frac{t}{{T_{1/2}}}}} $
$ \Rightarrow 25=100{{( \frac{1}{2} )}^{\frac{t}{1600}}} $

Þ t= 3200 years.