Nuclear Physics And Radioactivity Question 24

Question: An a-particle of 5 MeV energy strikes with a nucleus of uranium at stationary at an scattering angle of 180o. The nearest distance upto which a-particle reaches the nucleus will be of the order of [IIT 1981; AIEEE 2004]

Options:

A) $ 1,\overset{o}{\mathop{A}}, $

B) $ {{10}^{-10}}cm $

C) $ {{10}^{-12}}cm $

D) $ {{10}^{-15}}cm $

Show Answer

Answer:

Correct Answer: C

Solution:

At closest distance of approach Kinetic energy = Potential energy
$ \Rightarrow 5\times 10^{6}\times 1.6\times {{10}^{-19}}=\frac{1}{4\pi {\varepsilon_{0}}}\times \frac{(ze)(2e)}{r} $ For uranium z= 92, so $ r=5.3\times {{10}^{-12}}cm $



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