Hydrogen atom in third excited state de-excites to the first excited state. Obtain the expressions for the frequency of radiation emitted in this process.
Also determine the ratio of the wavelengths of the emitted radiations when the atom de-excites from the third excited state to the second excited state and from the third excited state to the first excited state.

 

Answers (1)

When de exited from third to first the frequency is
      \nu_{42}= RC (\frac{1}{2^{2}}-\frac{1}{4^{2}}) =\frac{3}{16}RC
           
the wavelengths of the emitted radiations when the atom de-excites from the third excited state to the second excited state is 

\frac{1}{\lambda_1}= R(\frac{1}{3^{2}}-\frac{1}{4^{2}}) =\frac{7}{144}RC

Wavelength from the third excited state to the first excited state

\frac{1}{\lambda_2}= R(\frac{1}{2^{2}}-\frac{1}{4^{2}}) =\frac{3}{16}R

\frac{\lambda_1}{\lambda_2}=\frac{22}{7}

Most Viewed Questions

Preparation Products

Knockout CUET (Physics, Chemistry and Mathematics)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout CUET (Physics, Chemistry and Biology)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions