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.



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें