Atoms And Nuclei Question 328

Question: If radiation corresponding to first line of “Balmer series” of $ H{{e}^{+}} $ ion knocked out electron from 1st excited state of H atom, the kinetic energy of ejected electron from H atom would be (eV) - [Given $ E_{n}=-\frac{Z^{2}}{n^{2}}( 13.6eV ) $ ]

Options:

A) 4.155 eV

B) 8.310 eV

C) 2.515 eV

D) 5.550 eV

Show Answer

Answer:

Correct Answer: A

Solution:

  • Energy of photon corresponding to first line of Balmer series $ =( 13.6 ){{( 2 )}^{2}}[ \frac{1}{4}-\frac{1}{9} ] $ Energy need to eject electron from n=2 level in H atom $ =( 13.6 )( \frac{1}{4} ) $ So, required kinetic energy $ =( 13.6 )[ ( \frac{1}{4}-\frac{1}{9} )-( \frac{1}{4} ) ]eV $ $ =13.6\times ( \frac{11}{36} )=4.155eV $


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